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Beliebt Rechnen >

derivative f(x)=ln(x^8)

Lösung

ableitung von

f (x) = ln (x^{8})

Lösung

\frac{8}{x}

Schritte zur Lösung

\frac{d}{d x} (ln (x^{8}))

Wende die Kettenregel an:

\frac{1}{x ^{8}} \frac{d}{d x} (x^{8})

= \frac{1}{x ^{8}} \frac{d}{d x} (x^{8})

\frac{d}{d x} (x^{8}) = 8 x^{7}

= \frac{1}{x ^{8}} \cdot 8 x^{7}

Vereinfache

\frac{1}{x ^{8}} \cdot 8 x^{7} : \frac{8}{x}

= \frac{8}{x}

Graph

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