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Beliebt Rechnen >

derivative of ln(1-6x)

Lösung

\frac{d}{d x} (ln (1 - 6 x))

Lösung

- \frac{6}{1 - 6 x}

Schritte zur Lösung

\frac{d}{d x} (ln (1 - 6 x))

Wende die Kettenregel an:

\frac{1}{1 - 6 x} \frac{d}{d x} (1 - 6 x)

= \frac{1}{1 - 6 x} \frac{d}{d x} (1 - 6 x)

\frac{d}{d x} (1 - 6 x) = - 6

= \frac{1}{1 - 6 x} (- 6)

Vereinfache

\frac{1}{1 - 6 x} (- 6) : - \frac{6}{1 - 6 x}

= - \frac{6}{1 - 6 x}

Graph

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