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Beliebt Rechnen >

derivative u^{7/2}

Lösung

ableitung von

u^{\frac{7}{2}}

Lösung

\frac{7 u ^{\frac{5}{2}}}{2}

Schritte zur Lösung

\frac{d}{d u} (u^{\frac{7}{2}})

Wende die Potenzregel an:

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

= \frac{7}{2} u^{\frac{7}{2} - 1}

Vereinfache

\frac{7}{2} u^{\frac{7}{2} - 1} : \frac{7 u ^{\frac{5}{2}}}{2}

= \frac{7 u ^{\frac{5}{2}}}{2}

Graph

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