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人気のある微分積分 >

derivative (4-2x^2)^3

解

導関数

(4 - 2 x^{2})^{3}

解

- 12 x (4 - 2 x^{2})^{2}

解答ステップ

\frac{d}{d x} ((4 - 2 x^{2})^{3})

連鎖法則を適用:

3 (4 - 2 x^{2})^{2} \frac{d}{d x} (4 - 2 x^{2})

= 3 (4 - 2 x^{2})^{2} \frac{d}{d x} (4 - 2 x^{2})

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

= 3 (4 - 2 x^{2})^{2} (- 4 x)

簡素化

= - 12 x (4 - 2 x^{2})^{2}

グラフ

人気の例

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