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人気のある微分積分 >

derivative of (x^2+3^5)

解

\frac{d}{d x} ((x^{2} + 3)^{5})

解

10 x (x^{2} + 3)^{4}

解答ステップ

\frac{d}{d x} ((x^{2} + 3)^{5})

連鎖法則を適用:

5 (x^{2} + 3)^{4} \frac{d}{d x} (x^{2} + 3)

= 5 (x^{2} + 3)^{4} \frac{d}{d x} (x^{2} + 3)

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

= 5 (x^{2} + 3)^{4} \cdot 2 x

簡素化

= 10 x (x^{2} + 3)^{4}

グラフ

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