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Beliebt Rechnen >

derivative of ln(1-ln(x))

Lösung

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

Lösung

- \frac{1}{x ( 1 - ln ( x ) )}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

\frac{1}{1 - ln ( x )} (- \frac{1}{x}) : - \frac{1}{x ( 1 - ln ( x ) )}

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

Graph

Beliebte Beispiele

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