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人気のある微分積分 >

derivative of (x^2+10^6)

解

\frac{d}{d x} ((x^{2} + 10)^{6})

解

12 x (x^{2} + 10)^{5}

解答ステップ

\frac{d}{d x} ((x^{2} + 10)^{6})

連鎖法則を適用:

6 (x^{2} + 10)^{5} \frac{d}{d x} (x^{2} + 10)

= 6 (x^{2} + 10)^{5} \frac{d}{d x} (x^{2} + 10)

\frac{d}{d x} (x^{2} + 10) = 2 x

= 6 (x^{2} + 10)^{5} \cdot 2 x

簡素化

= 12 x (x^{2} + 10)^{5}

グラフ

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