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人気のある微分積分 >

derivative f(x)=csc(x^2)

解

導関数

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

解

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

解答ステップ

\frac{d}{d x} (csc (x^{2}))

連鎖法則を適用:

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

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

\frac{d}{d x} (x^{2}) = 2 x

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

グラフ

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