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Beliebt Rechnen >

derivative y=x^{15/16}

Lösung

ableitung von

y = x^{\frac{15}{16}}

Lösung

\frac{15}{16 x ^{\frac{1}{16}}}

Schritte zur Lösung

\frac{d}{d x} (x^{\frac{15}{16}})

Wende die Potenzregel an:

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

= \frac{15}{16} x^{\frac{15}{16} - 1}

Vereinfache

\frac{15}{16} x^{\frac{15}{16} - 1} : \frac{15}{16 x ^{\frac{1}{16}}}

= \frac{15}{16 x ^{\frac{1}{16}}}

Graph

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