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人気のある微分積分 >

derivative f(x)=(6x-x^2)^{10}

解

導関数

f (x) = (6 x - x^{2})^{10}

解

10 (6 x - x^{2})^{9} (6 - 2 x)

解答ステップ

\frac{d}{d x} ((6 x - x^{2})^{10})

連鎖法則を適用:

10 (6 x - x^{2})^{9} \frac{d}{d x} (6 x - x^{2})

= 10 (6 x - x^{2})^{9} \frac{d}{d x} (6 x - x^{2})

\frac{d}{d x} (6 x - x^{2}) = 6 - 2 x

= 10 (6 x - x^{2})^{9} (6 - 2 x)

グラフ

人気の例

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