Danh mục bài soạn

, , , , , , ,

.....

=> Phía trên chỉ là hiển thị 1 phần giáo án. Tài liệu khi tải về sẽ có đầy đủ nội dung bài học

Giáo án Toán đại số 12 cánh diều bản chuẩn có xem trước

Tải giáo án Toán đại số 12 cánh diều bản chuẩn có xem trước. Giáo án tải về là file word, được soạn theo mẫu CV 5512 mới nhất. Giáo án có đủ các bài trong chương trình kì I + kì II. Cách trình bày chi tiết, khoa học. Giáo án bản chuẩn có xem trước soạn bám sát theo chương trình học mới. Do đó, bộ tài liệu này sẽ là sự tham khảo hữu ích, cũng như giúp giúp giáo viên nhẹ nhàng hơn trong việc giảng dạy

Ngày soạn: .../.../...

Ngày dạy: .../.../...

BÀI 2: GIÁ TRỊ LỚN NHẤT VÀ GIÁ TRỊ NHỎ NHẤT CỦA HÀM SỐ

I. MỤC TIÊU:

1. Kiến thức, kĩ năng:  Học xong bài này, HS đạt các yêu cầu sau:

-      

Nhận biết được khái niệm giá trị lớn nhất, giá trị nhỏ nhất của hàm số trên một tập thuộc tập xác định.

-      

Hiểu và biết cách tìm giá trị lớn nhất, giá trị nhỏ nhất của hàm số bằng đạo hàm.

-      

Vận dụng giá trị lớn nhất, giá trị nhó nhất của hàm số vào giải quyết các bài toán.

2. Năng lực

 Năng lực chung:

-      

Năng lực tự chủ và tự học trong tìm tòi khám phá

-      

Năng lực giao tiếp và hợp tác trong trình bày, thảo luận và làm việc nhóm

-      

Năng lực giải quyết vấn đề và sáng tạo trong thực hành, vận dụng.

Năng lực riêng:

-      

Tư duy và lập luận toán học: So sánh, phân tích dữ liệu, đưa ra lập luận trong quá trình khám phá, hình thành kiến thức, thực hành và vận dụng về phép tính lũy thừa.

-      

Mô hình hóa toán học: vận dụng giá trị lớn nhất và giá trị nhỏ nhất trong các bài toán thực tiễn.

-      

Giải quyết vấn đề toán học: tìm giá trị nhỏ nhất, giá trị lớn nhất của hàm số.

-      

Giao tiếp toán học: sử dụng các thuật ngữ, khái niệm, công thức, kí hiệu toán học trong trình bày, thảo luận, làm việc nhóm.

-      

Sử dụng công cụ, phương tiện học toán.

3. Phẩm chất

-      

ý thức học tập, ý thức tìm tòi, khám phá và sáng tạo, có ý thức làm việc nhóm, tôn trọng ý kiến các thành viên khi hợp tác.

-      

Chăm chỉ tích cực xây dựng bài, có trách nhiệm, chủ động chiếm lĩnh kiến thức theo sự hướng dẫn của GV.

II. THIẾT BỊ DẠY HỌC VÀ HỌC LIỆU

1. Đối với GV:  SGK, Tài liệu giảng dạy, giáo án, đồ dùng dạy học.

2. Đối với HS: SGK, SBT, vở ghi, giấy nháp, đồ dùng học tập (bút, thước...), bảng nhóm, bút viết bảng nhóm.

III. TIẾN TRÌNH DẠY HỌC

A. HOẠT ĐỘNG KHỞI ĐỘNG (MỞ ĐẦU)

a) Mục tiêu:

- Tạo hứng thú, thu hút HS tìm hiểu nội dung bài học thông qua bài toán về tìm giá trị của

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 để thể tích

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 của khối hộp đạt giá trị lớn nhất.

b) Nội dung: HS đọc tình huống mở đầu, suy nghĩ trả lời câu hỏi.

c) Sản phẩm: HS đưa ra những nhận định ban đầu về công thức tính

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theo

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cách tính giá trị lớn nhất của

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.

d) Tổ chức thực hiện:

Bước 1: Chuyển giao nhiệm vụ:

- GV cho HS đọc tình huống mở đầu:

Cho một tấm nhôm có dạng hình vuông cạnh  Bác Ánh cắt bốn góc bốn hình vuông cùng có độ dài bằng rồi gập tấm nhôm lại như Hình 7 để được một cái hộp có dạng khối hộp chữ nhật không có nắp. Gọi

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 là thể tích của khối hộp đó tính theo

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được tính theo

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 bởi công thức nào? Có thể tìm giá trị lớn nhất của

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 bằng cách nào?

Bước 2: Thực hiện nhiệm vụ: HS quan sát và chú ý lắng nghe, thảo luận nhóm hoàn thành yêu cầu.

Bước 3: Báo cáo, thảo luận: GV gọi một số HS trả lời, HS khác nhận xét, bổ sung.

Bước 4: Kết luận, nhận định: GV đánh giá kết quả của HS, trên cơ sở đó dẫn dắt HS vào bài học mới: “Bài hôm trước chúng ta đã tìm hiểu về tính đơn điệu của hàm số. Bài học hôm nay chúng ta cùng tìm hiểu về giá trị lớn nhất, giá trị nhó nhất của hàm số và cách sử dụng đạo hàm, tính đơn điệu của hàm số để tìm được các giá trị đó”.

Bài mới: Giá trị lớn nhất và giá tị nhỏ nhất của hàm số.

B. HÌNH THÀNH KIẾN THỨC MỚI

Hoạt động 1: Định nghĩa

a) Mục tiêu: 

- HS nhận biết khái niệm giá trị lớn nhất và giá trị nhó nhất của hàm số.

- Tìm được giá trị nhỏ nhất, giá trị lớn nhất của hàm số dựa vào tính chất của hàm số.

b) Nội dung:

 HS đọc SGK, nghe giảng, thực hiện các nhiệm vụ được giao, suy nghĩ trả lời câu hỏi, thực hiện các hoạt động 1, Luyện tập 1, đọc hiểu ví dụ.

c) Sản phẩm: HS hình thành được kiến thức bài học, câu trả lời của HS cho các câu hỏi. HS nhận biết được giá trị nhỏ nhất, giá trị lớn nhất của hàm số.

d) Tổ chức thực hiện:

HĐ CỦA GV VÀ HS

SẢN PHẨM DỰ KIẾN

Bước 1: Chuyển giao nhiệm vụ:

- GV yêu cầu HS thảo luận nhóm đôi, hoàn thành HĐ 1:

+ Xác định điểm có tung độ lớn nhất và nhỏ nhất.

 

 

 

- GV dẫn dắt: Trên đoạn

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hàm số

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 đạt giá trị lớn nhất bằng 3 tại

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 đạt giá trị nhỏ nhất bằng

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 tại

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- HS hãy khái quát: Thế nào là giá trị lớn nhất, giá trị nhỏ nhất của hàm số

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trên tập

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- GV chú ý cho HS.

 

 

 

 

- HS đọc, tìm hiểu Ví dụ 1, yêu cầu HS giải thích lại các bước làm. GV chốt lại kiến thức

+ Bước 1: Đánh giá được tập giá trị của hàm số đã cho trên đoạn

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+ Bước 2: Xác định giá trị nhỏ nhất, giá trị lớn nhất bằng bao nhiêu, tại

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style='width:10.5pt;height:17pt'>
o:title="" chromakey="white"/>

bằng bao nhiêu.

+ Bước 3: Kết luận.

- Tương tự HS làm Luyện tập 1.

+ Tìm tập xác định của hàm số.

+ Hàm số có dạng

style='mso-bookmark:_Hlk111729145'> m:val="on"/> mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:
"Cambria Math";mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:
minor-fareast;mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:
"Times New Roman";font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk111729145'> style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>P
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>(
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>)
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>

style='width:40.5pt;height:21pt'>
o:title="" chromakey="white"/>

nên giá trị nhỏ nhất với mọi

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"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>∈
m:val="["/> 13.5pt;mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;
mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic;mso-bidi-font-style:
normal'>
_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>3;3

style='width:64pt;height:17pt'>
o:title="" chromakey="white"/>

 là bao nhiêu?

Hàm số

style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>y
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=9-
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2

style='width:63pt;height:17pt'>
o:title="" chromakey="white"/>

 nhỏ hơn hoặc bằng bao nhiêu với mọi

style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>∈
m:val="["/> 13.5pt;mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;
mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic;mso-bidi-font-style:
normal'>
_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>3;3

style='width:64pt;height:17pt'>
o:title="" chromakey="white"/>

?

+ Kết luận giá trị nhỏ nhất, giá trị lớn nhất của hàm số trên đoạn

style='mso-bookmark:_Hlk111729145'> m:val="["/> 13.5pt;mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;
mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic;mso-bidi-font-style:
normal'>
_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>3;3
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>.

style='width:43pt;height:17pt'>
o:title="" chromakey="white"/>

Bước 2: Thực hiện nhiệm vụ:

- HS theo dõi SGK, chú ý nghe, tiếp nhận kiến thức, hoàn thành các yêu cầu, thảo luận nhóm.

- GV quan sát hỗ trợ.

Bước 3: Báo cáo, thảo luận:

- HS giơ tay phát biểu, lên bảng trình bày

- Một số HS khác nhận xét, bổ sung cho bạn.

Bước 4: Kết luận, nhận định: GV tổng quát lưu ý lại kiến thức trọng tâm:

+ Thế nào là giá trị lớn nhất, giá trị nhỏ nhất của hàm số trên tập D.

+ Các bước cơ bản để tìm giá trị lớn nhất, nhỏ nhất của hàm số dựa trên tính chất của hàm số.

I. Định nghĩa

HĐ 1:

a) Điểm

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style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>(1;3)

style='width:41pt;height:17pt'>
o:title="" chromakey="white"/>

 có tung độ lớn nhất.

b) Điểm

style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
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"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>A
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>(-1;1)

style='width:50.5pt;height:17pt'>
o:title="" chromakey="white"/>

 có tung độ nhỏ nhất.

Định nghĩa

Cho hàm số

style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>y
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x

style='width:52pt;height:17pt'>
o:title="" chromakey="white"/>

 xác định trên tập

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"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>D
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>.

style='width:12.5pt;height:17pt'>
o:title="" chromakey="white"/>

+) Số

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"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>M

style='width:12pt;height:17pt'>
o:title="" chromakey="white"/>

 được gọi là giá trị lớn nhất của hàm số

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"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>y
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>

style='width:55pt;height:17pt'>
o:title="" chromakey="white"/>

trên

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"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>D
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>,

style='width:12.5pt;height:17pt'>
o:title="" chromakey="white"/>

 kí hiệu

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style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
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"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> m:val="roman"/> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>max
style='mso-bookmark:_Hlk111729145'> style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>D
style='mso-bookmark:_Hlk111729145'> style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>,
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'> style='mso-spacerun:yes'> 

style='width:88.5pt;height:22.5pt'>
o:title="" chromakey="white"/>

nếu

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"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>≤
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>M

style='width:56pt;height:17pt'>
o:title="" chromakey="white"/>

 với mọi

style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>∈
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>D

style='width:33pt;height:17pt'>
o:title="" chromakey="white"/>

 và tồn tại

style='mso-bookmark:_Hlk111729145'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>o
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>∈
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>D
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>

style='width:42pt;height:17pt'>
o:title="" chromakey="white"/>

 sao cho

style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>o
style='mso-bookmark:_Hlk111729145'> style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>M
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>.

style='width:64.5pt;height:17pt'>
o:title="" chromakey="white"/>

+) Số

style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>m

style='width:11.5pt;height:17pt'>
o:title="" chromakey="white"/>

 được gọi là giá trị nhỏ nhất của hàm số

style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>y
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>

style='width:55pt;height:17pt'>
o:title="" chromakey="white"/>

trên

style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>D
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>,

style='width:12.5pt;height:17pt'>
o:title="" chromakey="white"/>

 kí hiệu

style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>m
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> m:val="roman"/> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>min
style='mso-bookmark:_Hlk111729145'> style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>D
style='mso-bookmark:_Hlk111729145'> style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>,
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'> style='mso-spacerun:yes'> 

style='width:86.5pt;height:22.5pt'>
o:title="" chromakey="white"/>

nếu

style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>≥
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>m

style='width:56pt;height:17pt'>
o:title="" chromakey="white"/>

 với mọi

style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>∈
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>D

style='width:33pt;height:17pt'>
o:title="" chromakey="white"/>

 và tồn tại

style='mso-bookmark:_Hlk111729145'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>∈
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>D
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>

style='width:41.5pt;height:17pt'>
o:title="" chromakey="white"/>

 sao cho

style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1
style='mso-bookmark:_Hlk111729145'> style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>m
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>.

style='width:63.5pt;height:17pt'>
o:title="" chromakey="white"/>

Chú ý:

Khi tìm giá trị lớn nhất (hoặc giá trị nhỏ nhất) của hàm số mà không chỉ rõ tập

style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>D

style='width:9.5pt;height:17pt'>
o:title="" chromakey="white"/>

 thì ta tìm giá trị lớn nhất (hoặc giá trị nhỏ nhất) của hàm số đó trên tập xác định của nó.

Ví dụ 1 (SGK -tr.16)

 

 

 

 

 

 

Luyện tập 1

style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
m:val="on"/> mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:
"Cambria Math";mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:
minor-fareast;mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:
"Times New Roman";font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>9-
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bookmark:_Hlk111729145'>

type="#_x0000_t75" style='width:92pt;height:21.5pt'>
o:title="" chromakey="white"/>

Tập xác định:

style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>D
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
m:val="["/> 13.5pt;mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;
mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>3;3

style='width:67.5pt;height:17pt'>
o:title="" chromakey="white"/>

+) Có

style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>0≤
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>≤9

style='width:64pt;height:17pt'>
o:title="" chromakey="white"/>

 với mọi

style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>∈
m:val="["/> 13.5pt;mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;
mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>3;3

style='width:64pt;height:17pt'>
o:title="" chromakey="white"/>

style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>⇒

style='width:11.5pt;height:17pt'>
o:title="" chromakey="white"/>

 

style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>0≤
m:val="on"/> mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:
"Cambria Math";mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:
minor-fareast;mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:
"Times New Roman";font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>9-
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bookmark:_Hlk111729145'> style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>≤
m:val="on"/> mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:
"Cambria Math";mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:
minor-fareast;mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:
"Times New Roman";font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>9
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=3

style='width:130.5pt;height:19.5pt'>
o:title="" chromakey="white"/>

 với mọi

style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>∈
m:val="["/> 13.5pt;mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;
mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>3;3

style='width:64pt;height:17pt'>
o:title="" chromakey="white"/>

+)

style='mso-bookmark:_Hlk111729145'> m:val="on"/> mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:
"Cambria Math";mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:
minor-fareast;mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:
"Times New Roman";font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>9-
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bookmark:_Hlk111729145'> style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>≥0

style='width:71.5pt;height:19.5pt'>
o:title="" chromakey="white"/>

Dấu “=” xảy ra

style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>⇔
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=±3

style='width:60.5pt;height:17pt'>
o:title="" chromakey="white"/>

+)

style='mso-bookmark:_Hlk111729145'> m:val="on"/> mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:
"Cambria Math";mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:
minor-fareast;mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:
"Times New Roman";font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>9-
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bookmark:_Hlk111729145'> style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>≤
m:val="on"/> mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:
"Cambria Math";mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:
minor-fareast;mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:
"Times New Roman";font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>9
style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=3

style='width:105.5pt;height:19.5pt'>
o:title="" chromakey="white"/>

Dấu “=” xảy ra

style='mso-bookmark:_Hlk111729145'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>⇔
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=0

style='width:50.5pt;height:17pt'>
o:title="" chromakey="white"/>

Nên

style='mso-bookmark:_Hlk111729145'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk111729145'> m:val="roman"/> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>min
style='mso-bookmark:_Hlk111729145'> style='mso-bookmark:_Hlk111729145'> m:val="["/> mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;
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Hoạt động 2: Tìm giá trị lớn nhất, giá trị nhỏ nhất của hàm số bằng đạo hàm

a) Mục tiêu:

- HS hiểu và tìm được giá trị lớn nhất, giá trị nhỏ nhất của hàm số bằng đạo hàm.

- HS vận dụng giá trị lớn nhất, giá trị nhỏ nhất của hàm số vào các bài toán thực tế.

b) Nội dung: HS đọc SGK để tìm hiểu nội dung kiến thức theo yêu cầu của GV, chú ý nghe giảng, thực hiện hoạt động 2, 3; Luyện tập 2, 3, các ví dụ.

c) Sản phẩm: HS hình thành được kiến thức bài học, câu trả lời của HS cho các câu hỏi. HS tìm được giá trị lớn nhất, giá trị nhỏ nhất của hàm số bằng đạo hàm; vận dụng giải quyết bài toán thực tế.

d) Tổ chức thực hiện:

HOẠT ĐỘNG CỦA GV VÀ HS

SẢN PHẨM DỰ KIẾN

Bước 1: Chuyển giao nhiệm vụ:

- HS thảo luận nhóm đôi hoàn thành HĐ 2 vào phiếu học tập.

+ c) Dựa vào bảng biến thiên, nhận xét tính đồng biến, nghịch biến của hàm số trên khoảng

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Giá trị

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 luôn lớn hơn hoặc bằng bao nhiêu trên

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Hàm số

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 có giá trị nhỏ nhất trên

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 hay không?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

- Từ đó, tổng quát, có thể sử dụng bảng biến thiên để tìm giá trị lớn nhất, nhỏ nhất.

 

 

 

- HS đọc, thảo luận, tìm hiểu Ví dụ 2. GV gọi 1 HS trình bày các bước cơ bản để tìm giá trị nhỏ nhất, lớn nhất dựa vào bảng biến thiên.

+ Bước 1: Xét hàm số trên khoảng theo đề bài và theo tập xác định hàm số.

Tính đạo hàm hàm số.

+ Bước 2: Tìm các giá trị

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GV chú ý HS tìm các điểm không xác định của hàm

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.

+ Bước 3: Lập bảng biến thiên trên tập

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 theo yêu cầu đề bài.

+ Bước 4: Kết luận dựa vào bảng biến thiên.

- HS thực hành làm Luyện tập 2.

+ Tìm tập xác định của hàm số.

+ Lập bảng biến thiên của hàm số.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

- HS thảo luận nhóm đôi thực hiện HĐ 3 vào phiếu học tập.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

- Từ kết quả HĐ 3, GV dẫn dắt:

+ Các giá trị lớn nhất, nhỏ nhất của hàm số trên một khoảng xác định

style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>a
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>;
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>b
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>

style='width:35.5pt;height:17pt'>
o:title="" chromakey="white"/>

là một trong các giá trị mà tại đó

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x

style='width:7.5pt;height:17pt'>
o:title="" chromakey="white"/>

 là nghiệm của phương trình

style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>'
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=0

style='width:56pt;height:17pt'>
o:title="" chromakey="white"/>

 hoặc

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>'(
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>)

style='width:29.5pt;height:17pt'>
o:title="" chromakey="white"/>

 không tồn tại.

+ Người ta chứng minh được về tính chất của hàm liên tục trên một đoạn.

- GV đưa ra khái quát cách làm cho HS.

+ Nhấn mạnh: ở bước 1 các điểm

style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>,
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>, …,
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>n

style='width:67.5pt;height:17pt'>
o:title="" chromakey="white"/>

 tại đó hàm số có đạo hàm bằng 0 hoặc không tồn tại.

+ Chú ý: ở bước 2, tính các giá trị

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x

style='width:26.5pt;height:17pt'>
o:title="" chromakey="white"/>

 với

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>∈[
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>a
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>;
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>b
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>]

style='width:54pt;height:17pt'>
o:title="" chromakey="white"/>

 mà đề bài đang yêu cầu.

 

 

 

- GV cho HS quan sát, GV hướng dẫn cách làm Ví dụ 3.

+ Chú ý: tìm các giá trị

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>

style='width:10.5pt;height:17pt'>
o:title="" chromakey="white"/>

sao cho

style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>'
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=0

style='width:56pt;height:17pt'>
o:title="" chromakey="white"/>

 hoặc không tồn tại.

+ Tính theo các bước, rồi kết luận.

- HS làm Luyện tập 3.

+ Tìm nghiệm của phương trình

style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>'
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=0.

style='width:59pt;height:17pt'>
o:title="" chromakey="white"/>

+ HS hãy nêu cách tìm nghiệm của phương trình

style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>'
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=0

style='width:56pt;height:17pt'>
o:title="" chromakey="white"/>

 trên đoạn

style='mso-bookmark:_Hlk104279075'> m:val="["/> 13.5pt;mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;
mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic;mso-bidi-font-style:
normal'>
_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
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style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>3
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
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style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>.
style='mso-bookmark:_Hlk104279075'> m:val="roman"/> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>

style='width:39pt;height:25.5pt'>
o:title="" chromakey="white"/>

+ HS tính toán và kết luận giá trị cần tìm.

- GV cho HS quan sát, đọc hiểu Ví dụ 4, Ví dụ 5: vận dụng của tìm giá trị lớn nhất, nhỏ nhất vào các bài toán thực tế.

+ Các bài toán quy về tìm giá trị lớn nhất, nhỏ nhất của hàm số nào? Trên khoảng nào?

Bước 2: Thực hiện nhiệm vụ:

- HS theo dõi SGK, chú ý nghe, tiếp nhận kiến thức, suy nghĩ trả lời câu hỏi, hoàn thành các yêu cầu.

- GV: quan sát và trợ giúp HS.

Bước 3: Báo cáo, thảo luận:

- HS giơ tay phát biểu, lên bảng trình bày

- Một số HS khác nhận xét, bổ sung cho bạn.

Bước 4: Kết luận, nhận định: GV tổng quát lưu ý lại kiến thức trọng tâm và yêu cầu HS ghi chép đầy đủ vào vở:

+ Cách sử dụng đạo hàm để tìm giá trị lớn nhất, giá trị nhỏ nhất của hàm số trên khoảng

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>(
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>a
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>;
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>b
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>).

style='width:35pt;height:17pt'>
o:title="" chromakey="white"/>

II. Tìm giá trị lớn nhất, giá trị nhỏ nhất của hàm số bằng đạo hàm

HĐ 2:

a)

style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
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mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> m:val="roman"/> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>lim
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>→
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>+
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> m:val="roman"/> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>lim
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>→
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>+
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>+
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
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style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>+
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>∞

style='width:193pt;height:27pt'>
o:title="" chromakey="white"/>

.

style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> m:val="roman"/> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>lim
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>→+∞
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> m:val="roman"/> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>lim
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
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style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
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font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>+
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
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style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1
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"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>+
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>∞

style='width:200.5pt;height:26.5pt'>
o:title="" chromakey="white"/>

.

b)

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
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style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>+
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1

style='width:86pt;height:24pt'>
o:title="" chromakey="white"/>

Tập xác định:

style='mso-bookmark:_Hlk104279075'> m:val="double-struck"/> normal'> mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman";mso-font-kerning:0pt;mso-ligatures:
none'>R
m:val="i"/> style='font-size:13.5pt;line-height:150%;font-family:"Cambria Math",serif;
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman";mso-font-kerning:0pt;mso-ligatures:
none'> \
m:val="}"/> mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:
"Cambria Math";mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:
minor-fareast;mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:
"Times New Roman";font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1

style='width:37.5pt;height:17pt'>
o:title="" chromakey="white"/>

style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>'
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=1+
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:
minor-fareast;mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:
"Times New Roman";font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bookmark:_Hlk104279075'>

type="#_x0000_t75" style='width:186.5pt;height:36pt'>
o:title="" chromakey="white"/>

style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>'
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=0⇔
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:
minor-fareast;mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:
"Times New Roman";font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bookmark:_Hlk104279075'> style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=0

type="#_x0000_t75" style='width:151pt;height:36pt'>
o:title="" chromakey="white"/>

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>⇔
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=0

style='width:50.5pt;height:17pt'>
o:title="" chromakey="white"/>

 hoặc

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=2

style='width:32.5pt;height:17pt'>
o:title="" chromakey="white"/>

 

Bảng biến thiên của

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>

style='width:29.5pt;height:17pt'>
o:title="" chromakey="white"/>

trên khoảng

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>(1;+∞)

style='width:46pt;height:17pt'>
o:title="" chromakey="white"/>

type="#_x0000_t75" style='width:279.5pt;height:145pt;visibility:visible;
mso-wrap-style:square'>
o:title=""/>

c) Từ bảng biến thiên ta có:

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>≥3

style='width:54.5pt;height:17pt'>
o:title="" chromakey="white"/>

với mọi

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>∈
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1;+∞
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>.

style='width:72.5pt;height:17pt'>
o:title="" chromakey="white"/>

Vậy

style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk104279075'> m:val="roman"/> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>min
style='mso-bookmark:_Hlk104279075'> style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1;+∞
style='mso-bookmark:_Hlk104279075'> style='mso-bookmark:_Hlk104279075'> style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=3.

style='width:132.5pt;height:24pt'>
o:title="" chromakey="white"/>

Hàm số

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x

style='width:26.5pt;height:17pt'>
o:title="" chromakey="white"/>

 không có giá trị nhỏ nhất trên khoảng

style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1;+∞
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>.

style='width:49pt;height:17pt'>
o:title="" chromakey="white"/>

Kết luận:

Để tìm giá trị lớn nhất, giá trị nhỏ nhất của hàm số

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x

style='width:26.5pt;height:17pt'>
o:title="" chromakey="white"/>

 trên một khoảng, đoạn hay nửa khoảng, ta có thể lập bảng bến thiên của hám số trên tập hợp đó. Căn cứ vào bảng biến thiên, ta tìm được giá trị lớn nhất và giá trị nhỏ nhất (nếu có) của hàm số.

Ví dụ 2 (SGK -Tr.16)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Luyện tập 2

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>y
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>5
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1

type="#_x0000_t75" style='width:108pt;height:32pt'>
o:title="" chromakey="white"/>

Tập xác định:

style='mso-bookmark:_Hlk104279075'> m:val="double-struck"/> normal'> mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman";mso-font-kerning:0pt;mso-ligatures:
none'>R
m:val="i"/> style='font-size:13.5pt;line-height:150%;font-family:"Cambria Math",serif;
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman";mso-font-kerning:0pt;mso-ligatures:
none'> \
m:val="}"/> mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:
"Cambria Math";mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:
minor-fareast;mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:
"Times New Roman";font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1

style='width:37.5pt;height:17pt'>
o:title="" chromakey="white"/>

style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>y
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>'
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>3
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>>0

style='width:86pt;height:25.5pt'>
o:title="" chromakey="white"/>

 với

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> m:val="double-struck"/> normal'> mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman";mso-font-kerning:0pt;mso-ligatures:
none'>∈ R \
m:val="}"/> mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:
"Cambria Math";mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:
minor-fareast;mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:
"Times New Roman";font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1

style='width:64pt;height:17pt'>
o:title="" chromakey="white"/>

Bảng biến thiên của

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>y
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>

style='width:55pt;height:17pt'>
o:title="" chromakey="white"/>

trên khoảng

style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1;+∞

style='width:46pt;height:17pt'>
o:title="" chromakey="white"/>

type="#_x0000_t75" style='width:280.5pt;height:146pt;visibility:visible;
mso-wrap-style:square'>
o:title=""/>

Từ bảng biến thiên có:

style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk104279075'> m:val="roman"/> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>max
style='mso-bookmark:_Hlk104279075'> style='mso-bookmark:_Hlk104279075'> m:val="]"/> mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:
"Cambria Math";mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:
minor-fareast;mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:
"Times New Roman";font-style:italic'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1;3
style='mso-bookmark:_Hlk104279075'> style='mso-bookmark:_Hlk104279075'> style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>3
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'> style='mso-spacerun:yes'> 

style='width:126.5pt;height:27pt'>
o:title="" chromakey="white"/>

và hàm số

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x

style='width:26.5pt;height:17pt'>
o:title="" chromakey="white"/>

 không có giá trị nhỏ nhất trên

style='mso-bookmark:_Hlk104279075'> m:val="]"/> mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:
"Cambria Math";mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:
minor-fareast;mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:
"Times New Roman";font-style:italic'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1;3

style='width:31pt;height:17pt'>
o:title="" chromakey="white"/>

.

 

HĐ 3:

o:spid="_x0000_i1025" type="#_x0000_t75" style='width:114.5pt;height:150pt;
visibility:visible;mso-wrap-style:square'>
o:title=""/>

a)

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>M
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk104279075'> m:val="roman"/> line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>max
style='mso-bookmark:_Hlk104279075'> style='mso-bookmark:_Hlk104279075'> m:val="["/> mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;
mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2;2
style='mso-bookmark:_Hlk104279075'> style='mso-bookmark:_Hlk104279075'> style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=4 style='mso-spacerun:yes'> 

style='width:170.5pt;height:24pt'>
o:title="" chromakey="white"/>

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>m
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk104279075'> m:val="roman"/> 13.5pt;line-height:150%;font-family:"Cambria Math",serif;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>min
style='mso-bookmark:_Hlk104279075'> style='mso-bookmark:_Hlk104279075'> m:val="["/> mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;
mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2;2
style='mso-bookmark:_Hlk104279075'> style='mso-bookmark:_Hlk104279075'> style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=-4 style='mso-spacerun:yes'> 

type="#_x0000_t75" style='width:170pt;height:24pt'>
o:title="" chromakey="white"/>

b)

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=2
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>3
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>6
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x

type="#_x0000_t75" style='width:97pt;height:17pt'>
o:title="" chromakey="white"/>

style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>'
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=6
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>6

type="#_x0000_t75" style='width:93.5pt;height:17pt'>
o:title="" chromakey="white"/>

style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>'
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=0⇔6
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>6=0⇔
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=±1

style='width:215pt;height:17pt'>
o:title="" chromakey="white"/>

(thỏa mãn

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>∈(-2;2).

style='width:68.5pt;height:17pt'>
o:title="" chromakey="white"/>

c)

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=-4

style='width:71.5pt;height:17pt'>
o:title="" chromakey="white"/>

;

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=4;

style='width:58pt;height:17pt'>
o:title="" chromakey="white"/>

 

m:val="left"/> style='mso-bookmark:_Hlk106094409'> style='font-size:13.5pt;line-height:150%;font-family:"Cambria Math",serif;
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman";mso-font-kerning:0pt;mso-ligatures:
none'>f
13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;font-family:
"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:
"Cambria Math";mso-bidi-font-family:"Times New Roman";font-style:italic;
mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=4;
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=-4

type="#_x0000_t75" style='width:129pt;height:17pt'>
o:title="" chromakey="white"/>

d)

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>M
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>

style='width:15pt;height:17pt'>
o:title="" chromakey="white"/>

bằng với số lớn nhất trong các giá trị tính được ở câu c.

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>m
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>

style='width:14.5pt;height:17pt'>
o:title="" chromakey="white"/>

bằng với số nhỏ nhất trong các giá trị tính được ở câu c.

Nhận xét:

Mọi hàm số liên tục trên một đoạn đều có giá trị nhỏ nhất và giá trị lớn nhất trên đoạn đó.

 

Quy tắc tìm giá trị lớn nhất và giá trị nhỏ nhất trên đoạn

style='mso-bookmark:_Hlk104279075'> m:val="["/> 13.5pt;mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;
mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-weight:bold;font-style:italic;
mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> m:val="roman"/> normal'> 13.5pt;line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>a
m:val="roman"/> normal'> 13.5pt;line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>;
m:val="roman"/> normal'> 13.5pt;line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>b

style='width:32pt;height:17pt'>
o:title="" chromakey="white"/>

Xét hàm số

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>(
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>)

style='width:26.5pt;height:17pt'>
o:title="" chromakey="white"/>

 liên tục trên đoạn

style='mso-bookmark:_Hlk104279075'> m:val="["/> 13.5pt;mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;
mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic;mso-bidi-font-style:
normal'>
_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>a
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>;
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>b
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>,

style='width:36.5pt;height:17pt'>
o:title="" chromakey="white"/>

có đạo hàm trên

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>(
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>a
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>;
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>b
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>)

style='width:32.5pt;height:17pt'>
o:title="" chromakey="white"/>

, có thể trừ một số hữu hạn điểm.

Nếu

style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>'
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=0

style='width:56pt;height:17pt'>
o:title="" chromakey="white"/>

 chỉ tại một số hữu hạn điểm thuộc khoảng

style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>a
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>;
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>b

style='width:32.5pt;height:17pt'>
o:title="" chromakey="white"/>

+) Bước 1: Tìm các điểm

style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>,
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>, …,
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>n

style='width:67.5pt;height:17pt'>
o:title="" chromakey="white"/>

 thuộc khoảng

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>(
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>a
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>;
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>b
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>)

style='width:32.5pt;height:17pt'>
o:title="" chromakey="white"/>

 mà tại đó hàm số có đạo hàm bằng 0 hoặc không tồn tại.

+) Bước 2: Tính

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>1
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>,
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>,….,
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>n
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>,
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>a

style='width:161.5pt;height:17pt'>
o:title="" chromakey="white"/>

 và

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>b
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>.

style='width:29.5pt;height:17pt'>
o:title="" chromakey="white"/>

+) Bước 3: So sánh các giá trị tìm được ở Bước 2.

Số lớn nhất trong các giá trị đó là giá trị lớn nhất của hàm số

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>(
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>)

style='width:29.5pt;height:17pt'>
o:title="" chromakey="white"/>

trên đoạn

style='mso-bookmark:_Hlk104279075'> m:val="["/> 13.5pt;mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;
mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic;mso-bidi-font-style:
normal'>
_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>a
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>;
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>b
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>,

style='width:33.5pt;height:17pt'>
o:title="" chromakey="white"/>

Số nhỏ nhất trong các giá trị đó là giá trị nhỏ nhất của hàm số

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;
font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x

style='width:26.5pt;height:17pt'>
o:title="" chromakey="white"/>

 trên đoạn

style='mso-bookmark:_Hlk104279075'> m:val="["/> 13.5pt;mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;
mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic;mso-bidi-font-style:
normal'>
_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>a
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>;
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>b
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>.

style='width:33.5pt;height:17pt'>
o:title="" chromakey="white"/>

 

Ví dụ 3 (SGK -tr.17)

 

Luyện tập 3:

m:val="left"/> style='mso-bookmark:_Hlk106094409'> style='font-size:13.5pt;line-height:150%;font-family:"Cambria Math",serif;
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman";mso-font-kerning:0pt;mso-ligatures:
none'>f
13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:13.5pt;font-family:
"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:
"Cambria Math";mso-bidi-font-family:"Times New Roman";font-style:italic;
mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> m:val="roman"/> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>sin
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x

type="#_x0000_t75" style='width:112.5pt;height:17pt'>
o:title="" chromakey="white"/>

Tập xác định:

style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>D
style='mso-bookmark:_Hlk104279075'> m:val="double-struck"/> normal'> mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman";mso-font-kerning:0pt;mso-ligatures:
none'>=R.

style='width:40pt;height:17pt'>
o:title="" chromakey="white"/>

style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>f
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>'
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=2
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> m:val="roman"/> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>cos
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>-
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2

type="#_x0000_t75" style='width:118pt;height:17pt'>
o:title="" chromakey="white"/>

style='mso-bookmark:_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
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style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
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style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>x
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=0⇔
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
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"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>=
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>kπ
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>,
style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>k
style='mso-bookmark:_Hlk104279075'> m:val="double-struck"/> normal'> mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-bidi-font-family:"Times New Roman";mso-font-kerning:0pt;mso-ligatures:
none'>∈Z

type="#_x0000_t75" style='width:155.5pt;height:17pt'>
o:title="" chromakey="white"/>

+) Xét trên đoạn

style='mso-bookmark:_Hlk104279075'> m:val="["/> 13.5pt;mso-bidi-font-size:13.5pt;font-family:"Cambria Math",serif;
mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast;mso-hansi-font-family:"Cambria Math";
mso-bidi-font-family:"Times New Roman";font-style:italic;mso-bidi-font-style:
normal'>
_Hlk104279075'> style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>π
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>2
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
"Times New Roman";mso-font-kerning:0pt;mso-ligatures:none'>;
style='font-size:13.5pt;mso-ansi-font-size:13.5pt;mso-bidi-font-size:
13.5pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
mso-fareast-font-family:"Times New Roman";mso-fareast-theme-font:minor-fareast;
mso-hansi-font-family:"Cambria Math";mso-bidi-font-family:"Times New Roman";
font-style:italic;mso-bidi-font-style:normal'>
style='mso-bookmark:_Hlk104279075'> style='mso-bidi-font-style:normal'> line-height:150%;font-family:"Cambria Math",serif;mso-fareast-font-family:
"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-bidi-font-family:
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Ví dụ 4 (SGK -tr.18)

Ví dụ 5 (SGK -tr.18).

Từ khóa tìm kiếm google:

<p>Tải giáo án Toán đại số 12 cánh diều bản chuẩn ,Tải giáo án word Toán đại số 12 cánh diều bản chuẩn, tải giáo án chương trình lớp 12 sách mới</p>
Phần trên, hocthoi.net đã soạn đầy đủ lý thuyết và bài tập của bài học: Giáo án Toán đại số 12 cánh diều bản chuẩn có xem trước . Bài học nằm trong chuyên mục: Giáo án chương trình lớp 12 mới. Phần trình bày do Phương Hiền tổng hợp và thực hiện giải bài. Nếu có chỗ nào chưa rõ, có phần nào muốn hiểu rộng thêm, bạn đọc vui lòng comment bên dưới. Ban biên tập sẽ giải đáp giúp các bạn trong thời gian sớm nhất.

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