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人気のある微分積分 >

derivative of 2x+7+(450/x)

解

\frac{d}{d x} (2 x + 7 + \frac{450}{x})

解

- \frac{450}{x ^{2}} + 2

解答ステップ

\frac{d}{d x} (2 x + 7 + \frac{450}{x})

和/差の法則を適用:

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

= \frac{d}{d x} (2 x) + \frac{d}{d x} (7) + \frac{d}{d x} (\frac{450}{x})

\frac{d}{d x} (2 x) = 2

\frac{d}{d x} (7) = 0

\frac{d}{d x} (\frac{450}{x}) = - \frac{450}{x ^{2}}

= 2 + 0 - \frac{450}{x ^{2}}

簡素化

= - \frac{450}{x ^{2}} + 2

グラフ

人気の例

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