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Bài 1.21 trang 30 SGK Toán 11 tập 1 - Cùng khám phá

Tìm giá trị lớn nhất và giá trị nhỏ nhất của hàm số \(y = - 3\sin x + 4.\)
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Đề bài

Tìm giá trị lớn nhất và giá trị nhỏ nhất của hàm số \(y =  - 3\sin x + 4.\)

Phương pháp giải - Xem chi tiết

Dựa vào \( - 1 \le \sin x \le 1\forall x\) để lập luận.

Lời giải chi tiết

\(\begin{array}{l} - 1 \le \sin x \le 1\forall x\\ \Leftrightarrow 3 \ge  - 3\sin x \ge  - 3\forall x\\ \Leftrightarrow 7 \ge  - 3\sin x + 4 \ge 1\forall x\end{array}\)Vậy GTLN của hàm số là 7, GTNN là 1.

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Tham Gia Group Dành Cho Lớp 11 Chia Sẻ, Trao Đổi Tài Liệu Miễn Phí

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