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人気のある微分積分 >

derivative 2/3 x^3

解

導関数

\frac{2}{3} x^{3}

解

2 x^{2}

解答ステップ

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

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

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

乗の法則を適用:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{2}{3} \cdot 3 x^{3 - 1}

簡素化

\frac{2}{3} \cdot 3 x^{3 - 1} : 2 x^{2}

= 2 x^{2}

グラフ

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