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人気のある微分積分 >

derivative f(x)=(sin^2(x)+1)^5

解

導関数

f (x) = (sin^{2} (x) + 1)^{5}

解

5 (sin^{2} (x) + 1)^{4} sin (2 x)

解答ステップ

\frac{d}{d x} ((sin^{2} (x) + 1)^{5})

連鎖法則を適用:

5 (sin^{2} (x) + 1)^{4} \frac{d}{d x} (sin^{2} (x) + 1)

= 5 (sin^{2} (x) + 1)^{4} \frac{d}{d x} (sin^{2} (x) + 1)

\frac{d}{d x} (sin^{2} (x) + 1) = sin (2 x)

= 5 (sin^{2} (x) + 1)^{4} sin (2 x)

グラフ

人気の例

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