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人気のある微分積分 >

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

解

導関数

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

解

- 9 (2 - 3 x)^{2}

解答ステップ

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

連鎖法則を適用:

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

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

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

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

簡素化

= - 9 (2 - 3 x)^{2}

グラフ

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