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人気のある微分積分 >

derivative of sec^2(x+csc^2(x))

解

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

解

2 sec^{2} (x) tan (x) - 2 csc^{2} (x) cot (x)

解答ステップ

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

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (sec^{2} (x)) + \frac{d}{d x} (csc^{2} (x))

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

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

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

グラフ

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