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Beliebt Rechnen >

derivative of x^{(1/3})

Lösung

\frac{d}{d x} (x^{(\frac{1}{3})})

Lösung

\frac{1}{3 x ^{\frac{2}{3}}}

Schritte zur Lösung

\frac{d}{d x} (x^{(\frac{1}{3})})

Wende die Potenzregel an:

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

= \frac{1}{3} x^{\frac{1}{3} - 1}

Vereinfache

\frac{1}{3} x^{\frac{1}{3} - 1} : \frac{1}{3 x ^{\frac{2}{3}}}

= \frac{1}{3 x ^{\frac{2}{3}}}

Graph

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