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人気のある微分積分 >

derivative of 9x+1/x-4

解

\frac{d}{d x} (9 x + \frac{1}{x} - 4)

解

- \frac{1}{x ^{2}} + 9

解答ステップ

\frac{d}{d x} (9 x + \frac{1}{x} - 4)

和/差の法則を適用:

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

= \frac{d}{d x} (9 x) + \frac{d}{d x} (\frac{1}{x}) - \frac{d}{d x} (4)

\frac{d}{d x} (9 x) = 9

\frac{d}{d x} (\frac{1}{x}) = - \frac{1}{x ^{2}}

\frac{d}{d x} (4) = 0

= 9 - \frac{1}{x ^{2}} - 0

簡素化

= - \frac{1}{x ^{2}} + 9

グラフ

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