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人気のある微分積分 >

derivative y=(3x^6-2x^4)^4

解

導関数

y = (3 x^{6} - 2 x^{4})^{4}

解

4 (3 x^{6} - 2 x^{4})^{3} (18 x^{5} - 8 x^{3})

解答ステップ

\frac{d}{d x} ((3 x^{6} - 2 x^{4})^{4})

連鎖法則を適用:

4 (3 x^{6} - 2 x^{4})^{3} \frac{d}{d x} (3 x^{6} - 2 x^{4})

= 4 (3 x^{6} - 2 x^{4})^{3} \frac{d}{d x} (3 x^{6} - 2 x^{4})

\frac{d}{d x} (3 x^{6} - 2 x^{4}) = 18 x^{5} - 8 x^{3}

= 4 (3 x^{6} - 2 x^{4})^{3} (18 x^{5} - 8 x^{3})

グラフ

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