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人気のある微分積分 >

derivative of cot^2(5x)

解

\frac{d}{d x} (cot^{2} (5 x))

解

- 10 csc^{2} (5 x) cot (5 x)

解答ステップ

\frac{d}{d x} (cot^{2} (5 x))

連鎖法則を適用:

2 cot (5 x) \frac{d}{d x} (cot (5 x))

= 2 cot (5 x) \frac{d}{d x} (cot (5 x))

\frac{d}{d x} (cot (5 x)) = - csc^{2} (5 x) \cdot 5

= 2 cot (5 x) (- csc^{2} (5 x) \cdot 5)

簡素化

= - 10 csc^{2} (5 x) cot (5 x)

グラフ

人気の例

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