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人気のある微分積分 >

derivative of (5+x^4^{12})

解

\frac{d}{d x} ((5 + x^{4})^{12})

解

48 x^{3} (5 + x^{4})^{11}

解答ステップ

\frac{d}{d x} ((5 + x^{4})^{12})

連鎖法則を適用:

12 (5 + x^{4})^{11} \frac{d}{d x} (5 + x^{4})

= 12 (5 + x^{4})^{11} \frac{d}{d x} (5 + x^{4})

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

= 12 (5 + x^{4})^{11} \cdot 4 x^{3}

簡素化

= 48 x^{3} (5 + x^{4})^{11}

グラフ

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