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人気のある微分積分 >

derivative of 20x^2+(180/x)

解

\frac{d}{d x} (20 x^{2} + \frac{180}{x})

解

40 x - \frac{180}{x ^{2}}

解答ステップ

\frac{d}{d x} (20 x^{2} + \frac{180}{x})

和/差の法則を適用:

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

= \frac{d}{d x} (20 x^{2}) + \frac{d}{d x} (\frac{180}{x})

\frac{d}{d x} (20 x^{2}) = 40 x

\frac{d}{d x} (\frac{180}{x}) = - \frac{180}{x ^{2}}

= 40 x - \frac{180}{x ^{2}}

グラフ

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