derivative ln(x^{61})

Lösung

ableitung von

ln (x^{61})

\frac{61}{x}

Schritte zur Lösung

\frac{d}{d x} (ln (x^{61}))

Wende die Kettenregel an:

\frac{1}{x ^{61}} \frac{d}{d x} (x^{61})

= \frac{1}{x ^{61}} \frac{d}{d x} (x^{61})

\frac{d}{d x} (x^{61}) = 61 x^{60}

= \frac{1}{x ^{61}} \cdot 61 x^{60}

Vereinfache

\frac{1}{x ^{61}} \cdot 61 x^{60} : \frac{61}{x}

= \frac{61}{x}

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