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人気のある微分積分 >

derivative of (2x+5^7)

解

\frac{d}{d x} ((2 x + 5)^{7})

解

14 (2 x + 5)^{6}

解答ステップ

\frac{d}{d x} ((2 x + 5)^{7})

連鎖法則を適用:

7 (2 x + 5)^{6} \frac{d}{d x} (2 x + 5)

= 7 (2 x + 5)^{6} \frac{d}{d x} (2 x + 5)

\frac{d}{d x} (2 x + 5) = 2

= 7 (2 x + 5)^{6} \cdot 2

簡素化

= 14 (2 x + 5)^{6}

グラフ

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