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人気のある微分積分 >

derivative of (x^3+1^4)

解

\frac{d}{d x} ((x^{3} + 1)^{4})

解

12 x^{2} (x^{3} + 1)^{3}

解答ステップ

\frac{d}{d x} ((x^{3} + 1)^{4})

連鎖法則を適用:

4 (x^{3} + 1)^{3} \frac{d}{d x} (x^{3} + 1)

= 4 (x^{3} + 1)^{3} \frac{d}{d x} (x^{3} + 1)

\frac{d}{d x} (x^{3} + 1) = 3 x^{2}

= 4 (x^{3} + 1)^{3} \cdot 3 x^{2}

簡素化

= 12 x^{2} (x^{3} + 1)^{3}

グラフ

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