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人気のある微分積分 >

derivative of (7+x^5)

解

\frac{d}{d x} ((7 + x)^{5})

解

5 (7 + x)^{4}

解答ステップ

\frac{d}{d x} ((7 + x)^{5})

連鎖法則を適用:

5 (7 + x)^{4} \frac{d}{d x} (7 + x)

= 5 (7 + x)^{4} \frac{d}{d x} (7 + x)

\frac{d}{d x} (7 + x) = 1

= 5 (7 + x)^{4} \cdot 1

簡素化

= 5 (7 + x)^{4}

グラフ

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