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人気のある微分積分 >

derivative y=ln(8+ln(x))

解

導関数

y = ln (8 + ln (x))

解

\frac{1}{x ( 8 + ln ( x ) )}

解答ステップ

\frac{d}{d x} (ln (8 + ln (x)))

連鎖法則を適用:

\frac{1}{8 + ln ( x )} \frac{d}{d x} (8 + ln (x))

= \frac{1}{8 + ln ( x )} \frac{d}{d x} (8 + ln (x))

\frac{d}{d x} (8 + ln (x)) = \frac{1}{x}

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

簡素化

\frac{1}{8 + ln ( x )} \cdot \frac{1}{x} : \frac{1}{x ( 8 + ln ( x ) )}

= \frac{1}{x ( 8 + ln ( x ) )}

グラフ

人気の例

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