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Beliebt Rechnen >

derivative of ln(ln(12x))

Lösung

\frac{d}{d x} (ln (ln (12 x)))

Lösung

\frac{1}{x ln ( 12 x )}

Schritte zur Lösung

\frac{d}{d x} (ln (ln (12 x)))

Wende die Kettenregel an:

\frac{1}{ln ( 12 x )} \frac{d}{d x} (ln (12 x))

= \frac{1}{ln ( 12 x )} \frac{d}{d x} (ln (12 x))

\frac{d}{d x} (ln (12 x)) = \frac{1}{x}

= \frac{1}{ln ( 12 x )} \cdot \frac{1}{x}

Vereinfache

\frac{1}{ln ( 12 x )} \cdot \frac{1}{x} : \frac{1}{x ln ( 12 x )}

= \frac{1}{x ln ( 12 x )}

Graph

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