derivative y=x^{17/18}

Lösung

ableitung von

y = x^{\frac{17}{18}}

\frac{17}{18 x ^{\frac{1}{18}}}

Schritte zur Lösung

\frac{d}{d x} (x^{\frac{17}{18}})

Wende die Potenzregel an:

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

= \frac{17}{18} x^{\frac{17}{18} - 1}

Vereinfache

\frac{17}{18} x^{\frac{17}{18} - 1} : \frac{17}{18 x ^{\frac{1}{18}}}

= \frac{17}{18 x ^{\frac{1}{18}}}

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