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人気のある微分積分 >

derivative of (1-x^2^{10})

解

\frac{d}{d x} ((1 - x^{2})^{10})

解

- 20 x (1 - x^{2})^{9}

解答ステップ

\frac{d}{d x} ((1 - x^{2})^{10})

連鎖法則を適用:

10 (1 - x^{2})^{9} \frac{d}{d x} (1 - x^{2})

= 10 (1 - x^{2})^{9} \frac{d}{d x} (1 - x^{2})

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

= 10 (1 - x^{2})^{9} (- 2 x)

簡素化

= - 20 x (1 - x^{2})^{9}

グラフ

人気の例

integral of (1+x^2)^{-1/2}

\int (1 + x^{2})^{- \frac{1}{2}} d x

勾配 (-2/7 , 2/3),(5/7 ,-7/3)

s l o p e (- \frac{2}{7}, \frac{2}{3}), (\frac{5}{7}, - \frac{7}{3})

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(x+y)^2dx+(2xy+x^2-4)dy=0

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