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人気のある微分積分 >

derivative f(x)=(-25x^2+1)^2

解

導関数

f (x) = (- 25 x^{2} + 1)^{2}

解

- 100 x (- 25 x^{2} + 1)

解答ステップ

\frac{d}{d x} ((- 25 x^{2} + 1)^{2})

連鎖法則を適用:

2 (- 25 x^{2} + 1) \frac{d}{d x} (- 25 x^{2} + 1)

= 2 (- 25 x^{2} + 1) \frac{d}{d x} (- 25 x^{2} + 1)

\frac{d}{d x} (- 25 x^{2} + 1) = - 50 x

= 2 (- 25 x^{2} + 1) (- 50 x)

簡素化

= - 100 x (- 25 x^{2} + 1)

グラフ

人気の例

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\int \frac{1}{3} cos (3 x) d x

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