derivative f(x)=x^{1/5}

Lösung

ableitung von

f (x) = x^{\frac{1}{5}}

\frac{1}{5 x ^{\frac{4}{5}}}

Schritte zur Lösung

\frac{d}{d x} (x^{\frac{1}{5}})

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{1}{5} x^{\frac{1}{5} - 1}

Vereinfache

\frac{1}{5} x^{\frac{1}{5} - 1} : \frac{1}{5 x ^{\frac{4}{5}}}

= \frac{1}{5 x ^{\frac{4}{5}}}

s im pl i f y \frac{x + 1}{x ^{2} + 1}

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\int \frac{x - arctan ( x )}{1 + x ^{2}} d x

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