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人気のある微分積分 >

derivative y=(ln(x))^6

解

導関数

y = (ln (x))^{6}

解

\frac{6 ln ^{5} ( x )}{x}

解答ステップ

\frac{d}{d x} ((ln (x))^{6})

連鎖法則を適用:

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

= 6 (ln (x))^{5} \frac{d}{d x} (ln (x))

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

= 6 (ln (x))^{5} \frac{1}{x}

簡素化

6 ln^{5} (x) \frac{1}{x} : \frac{6 ln ^{5} ( x )}{x}

= \frac{6 ln ^{5} ( x )}{x}

グラフ

人気の例

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