Giá trị nhỏ nhất của hàm số y=x+x9 trên đoạn [2;4] là
Hãy suy nghĩ và trả lời câu hỏi trước khi xem đáp án
Ta có $y' = 1 - \dfrac{9}{x^2}$.
$y' = 0 \Leftrightarrow x^2 = 9 \Leftrightarrow x = \pm 3$.
Vì $x \in [2; 4]$ nên $x = 3$ là nghiệm duy nhất.
Tính giá trị của hàm số tại các điểm $x = 2, x = 3, x = 4$:
- $y(2) = 2 + \dfrac{9}{2} = \dfrac{13}{2} = 6.5$
- $y(3) = 3 + \dfrac{9}{3} = 3 + 3 = 6$
- $y(4) = 4 + \dfrac{9}{4} = \dfrac{25}{4} = 6.25$
Câu hỏi liên quan
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Đọc đoạn thơ và trả lời câu hỏi dưới đây.
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