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人気のある微分積分 >

derivative of log_{e}(3x)

解

\frac{d}{d x} (lo g_{e} (3 x))

解

\frac{1}{x}

解答ステップ

\frac{d}{d x} (lo g_{e} (3 x))

簡素化

lo g_{e} (3 x) : ln (3 x)

= \frac{d}{d x} (ln (3 x))

連鎖法則を適用:

\frac{1}{3 x} \frac{d}{d x} (3 x)

= \frac{1}{3 x} \frac{d}{d x} (3 x)

\frac{d}{d x} (3 x) = 3

= \frac{1}{3 x} \cdot 3

簡素化

\frac{1}{3 x} \cdot 3 : \frac{1}{x}

= \frac{1}{x}

グラフ

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