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人気のある微分積分 >

derivative of (2-x^3^3)

解

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

解

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

解答ステップ

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

連鎖法則を適用:

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

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

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

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

簡素化

= - 9 x^{2} (2 - x^{3})^{2}

グラフ

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