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Beliebt Rechnen >

derivative of \sqrt[7]{ln(x})

Lösung

\frac{d}{d x} (7 ln (x))

Lösung

\frac{1}{7 x ln ^{\frac{6}{7}} ( x )}

Schritte zur Lösung

\frac{d}{d x} (7 ln (x))

Wende die Kettenregel an:

\frac{1}{7 ( ln ( x ) ) ^{\frac{6}{7}}} \frac{d}{d x} (ln (x))

= \frac{1}{7 ( ln ( x ) ) ^{\frac{6}{7}}} \frac{d}{d x} (ln (x))

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

= \frac{1}{7 ( ln ( x ) ) ^{\frac{6}{7}}} \cdot \frac{1}{x}

Vereinfache

\frac{1}{7 ln ^{\frac{6}{7}} ( x )} \cdot \frac{1}{x} : \frac{1}{7 x ln ^{\frac{6}{7}} ( x )}

= \frac{1}{7 x ln ^{\frac{6}{7}} ( x )}

Graph

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