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人気のある微分積分 >

derivative f(x)=ln(5x)

解

導関数

f (x) = ln (5 x)

解

\frac{1}{x}

解答ステップ

\frac{d}{d x} (ln (5 x))

連鎖法則を適用:

\frac{1}{5 x} \frac{d}{d x} (5 x)

= \frac{1}{5 x} \frac{d}{d x} (5 x)

\frac{d}{d x} (5 x) = 5

= \frac{1}{5 x} \cdot 5

簡素化

\frac{1}{5 x} \cdot 5 : \frac{1}{x}

= \frac{1}{x}

グラフ

人気の例

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