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人気のある微分積分 >

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

解

導関数

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

解

3 (3 x - 2 x^{2})^{2} (3 - 4 x)

解答ステップ

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

連鎖法則を適用:

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

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

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

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

グラフ

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