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人気のある微分積分 >

derivative of (ln(x+4)^2)

解

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

解

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

解答ステップ

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

連鎖法則を適用:

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

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

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

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

簡素化

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

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

グラフ

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