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人気のある微分積分 >

derivative of cot^2(7x)

解

\frac{d}{d x} (cot^{2} (7 x))

解

- 14 csc^{2} (7 x) cot (7 x)

解答ステップ

\frac{d}{d x} (cot^{2} (7 x))

連鎖法則を適用:

2 cot (7 x) \frac{d}{d x} (cot (7 x))

= 2 cot (7 x) \frac{d}{d x} (cot (7 x))

\frac{d}{d x} (cot (7 x)) = - csc^{2} (7 x) \cdot 7

= 2 cot (7 x) (- csc^{2} (7 x) \cdot 7)

簡素化

= - 14 csc^{2} (7 x) cot (7 x)

グラフ

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