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人気のある微分積分 >

derivative of 12x^3+12x^2

解

\frac{d}{d x} (12 x^{3} + 12 x^{2})

解

36 x^{2} + 24 x

解答ステップ

\frac{d}{d x} (12 x^{3} + 12 x^{2})

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (12 x^{3}) + \frac{d}{d x} (12 x^{2})

\frac{d}{d x} (12 x^{3}) = 36 x^{2}

\frac{d}{d x} (12 x^{2}) = 24 x

= 36 x^{2} + 24 x

グラフ

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