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人気のある微分積分 >

derivative of cot^4(x)

解

\frac{d}{d x} (cot^{4} (x))

解

- 4 cot^{3} (x) csc^{2} (x)

解答ステップ

\frac{d}{d x} (cot^{4} (x))

連鎖法則を適用:

4 (cot (x))^{3} \frac{d}{d x} (cot (x))

= 4 (cot (x))^{3} \frac{d}{d x} (cot (x))

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

= 4 (cot (x))^{3} (- csc^{2} (x))

簡素化

= - 4 cot^{3} (x) csc^{2} (x)

グラフ

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