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人気のある微分積分 >

derivative of (1+x^2^3)

解

\frac{d}{d x} ((1 + x^{2})^{3})

解

6 x (1 + x^{2})^{2}

解答ステップ

\frac{d}{d x} ((1 + x^{2})^{3})

連鎖法則を適用:

3 (1 + x^{2})^{2} \frac{d}{d x} (1 + x^{2})

= 3 (1 + x^{2})^{2} \frac{d}{d x} (1 + x^{2})

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

= 3 (1 + x^{2})^{2} \cdot 2 x

簡素化

= 6 x (1 + x^{2})^{2}

グラフ

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