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人気のある微分積分 >

derivative 4x^3-56x^2+196x

解

導関数

4 x^{3} - 56 x^{2} + 196 x

解

12 x^{2} - 112 x + 196

解答ステップ

\frac{d}{d x} (4 x^{3} - 56 x^{2} + 196 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} (56 x^{2}) + \frac{d}{d x} (196 x)

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

\frac{d}{d x} (56 x^{2}) = 112 x

\frac{d}{d x} (196 x) = 196

= 12 x^{2} - 112 x + 196

グラフ

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