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人気のある微分積分 >

derivative of 4x^3-24x^2+36x

解

\frac{d}{d x} (4 x^{3} - 24 x^{2} + 36 x)

解

12 x^{2} - 48 x + 36

解答ステップ

\frac{d}{d x} (4 x^{3} - 24 x^{2} + 36 x)

和/差の法則を適用:

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

= \frac{d}{d x} (4 x^{3}) - \frac{d}{d x} (24 x^{2}) + \frac{d}{d x} (36 x)

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d}{d x} (24 x^{2}) = 48 x

\frac{d}{d x} (36 x) = 36

= 12 x^{2} - 48 x + 36

グラフ

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