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Beliebt Rechnen >

derivative x^{5/4}

Lösung

ableitung von

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

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (x^{\frac{5}{4}})

Wende die Potenzregel an:

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

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

Vereinfache

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

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

Graph

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