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人気のある微分積分 >

derivative of x+sqrt(x)+8

解

\frac{d}{d x} (x + x + 8)

解

\frac{1}{2 x} + 1

解答ステップ

\frac{d}{d x} (x + x + 8)

和/差の法則を適用:

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

= \frac{d x}{d x} + \frac{d}{d x} (x) + \frac{d}{d x} (8)

\frac{d x}{d x} = 1

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

\frac{d}{d x} (8) = 0

= 1 + \frac{1}{2 x} + 0

簡素化

= \frac{1}{2 x} + 1

グラフ

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