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人気のある微分積分 >

derivative of (1+x^n)

解

\frac{d}{d x} ((1 + x)^{n})

解

n (1 + x)^{n - 1}

解答ステップ

\frac{d}{d x} ((1 + x)^{n})

連鎖法則を適用:

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

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

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

= n (1 + x)^{n - 1} \cdot 1

簡素化

= n (1 + x)^{n - 1}

グラフ

人気の例

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