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人気のある微分積分 >

derivative of (2x^3(4x^2))

解

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

解

40 x^{4}

解答ステップ

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

簡素化

(2 x^{3}) (4 x^{2}) : 8 x^{5}

= \frac{d}{d x} (8 x^{5})

定数を除去:

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

= 8 \frac{d}{d x} (x^{5})

乗の法則を適用:

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

= 8 \cdot 5 x^{5 - 1}

簡素化

= 40 x^{4}

グラフ

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