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人気のある微分積分 >

derivative of (3x^2-2x^3)

解

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

解

3 (3 x^{2} - 2 x)^{2} (6 x - 2)

解答ステップ

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

連鎖法則を適用:

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

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

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

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

グラフ

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