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人気のある微分積分 >

derivative of (-4x^2+25^2)

解

\frac{d}{d x} ((- 4 x^{2} + 25)^{2})

解

- 16 x (- 4 x^{2} + 25)

解答ステップ

\frac{d}{d x} ((- 4 x^{2} + 25)^{2})

連鎖法則を適用:

2 (- 4 x^{2} + 25) \frac{d}{d x} (- 4 x^{2} + 25)

= 2 (- 4 x^{2} + 25) \frac{d}{d x} (- 4 x^{2} + 25)

\frac{d}{d x} (- 4 x^{2} + 25) = - 8 x

= 2 (- 4 x^{2} + 25) (- 8 x)

簡素化

= - 16 x (- 4 x^{2} + 25)

グラフ

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