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人気のある微分積分 >

derivative of csc(cot(x))

解

\frac{d}{d x} (csc (cot (x)))

解

csc^{2} (x) cot (cot (x)) csc (cot (x))

解答ステップ

\frac{d}{d x} (csc (cot (x)))

連鎖法則を適用:

- cot (cot (x)) csc (cot (x)) \frac{d}{d x} (cot (x))

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

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

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

簡素化

= csc^{2} (x) cot (cot (x)) csc (cot (x))

グラフ

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