derivative of x^{1/11}

Lösung

\frac{d}{d x} (x^{\frac{1}{11}})

\frac{1}{11 x ^{\frac{10}{11}}}

Schritte zur Lösung

\frac{d}{d x} (x^{\frac{1}{11}})

Wende die Potenzregel an:

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

= \frac{1}{11} x^{\frac{1}{11} - 1}

Vereinfache

\frac{1}{11} x^{\frac{1}{11} - 1} : \frac{1}{11 x ^{\frac{10}{11}}}

= \frac{1}{11 x ^{\frac{10}{11}}}

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