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人気のある微分積分 >

derivative sqrt(x)(x-8)

解

導関数

x (x - 8)

解

\frac{3 x - 8}{2 x}

解答ステップ

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

積の法則を適用:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = x - 8

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

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

\frac{d}{d x} (x - 8) = 1

= \frac{1}{2 x} (x - 8) + 1 \cdot x

簡素化

\frac{1}{2 x} (x - 8) + 1 \cdot x : \frac{3 x - 8}{2 x}

= \frac{3 x - 8}{2 x}

グラフ

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