derivative f(x)=x^{5/6}

Lösung

ableitung von

f (x) = x^{\frac{5}{6}}

\frac{5}{6 x ^{\frac{1}{6}}}

Schritte zur Lösung

\frac{d}{d x} (x^{\frac{5}{6}})

Wende die Potenzregel an:

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

= \frac{5}{6} x^{\frac{5}{6} - 1}

Vereinfache

\frac{5}{6} x^{\frac{5}{6} - 1} : \frac{5}{6 x ^{\frac{1}{6}}}

= \frac{5}{6 x ^{\frac{1}{6}}}

t an g e n t y = 10 - 3 x - x^{2}

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