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人気のある微分積分 >

derivative of (ln(4x)^2)

解

\frac{d}{d x} ((ln (4 x))^{2})

解

\frac{2 ln ( 4 x )}{x}

解答ステップ

\frac{d}{d x} ((ln (4 x))^{2})

連鎖法則を適用:

2 ln (4 x) \frac{d}{d x} (ln (4 x))

= 2 ln (4 x) \frac{d}{d x} (ln (4 x))

\frac{d}{d x} (ln (4 x)) = \frac{1}{x}

= 2 ln (4 x) \frac{1}{x}

簡素化

2 ln (4 x) \frac{1}{x} : \frac{2 ln ( 4 x )}{x}

= \frac{2 ln ( 4 x )}{x}

グラフ

人気の例

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