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Beliebt Rechnen >

derivative (ln(x))^4

Lösung

ableitung von

(ln (x))^{4}

Lösung

\frac{4 ln ^{3} ( x )}{x}

Schritte zur Lösung

\frac{d}{d x} ((ln (x))^{4})

Wende die Kettenregel an:

4 (ln (x))^{3} \frac{d}{d x} (ln (x))

= 4 (ln (x))^{3} \frac{d}{d x} (ln (x))

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

= 4 (ln (x))^{3} \frac{1}{x}

Vereinfache

4 ln^{3} (x) \frac{1}{x} : \frac{4 ln ^{3} ( x )}{x}

= \frac{4 ln ^{3} ( x )}{x}

Graph

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