derivative of x^{2/3}-a^{2/3}

Lösung

\frac{d}{d x} (x^{\frac{2}{3}} - a^{\frac{2}{3}})

\frac{2}{3 x ^{\frac{1}{3}}}

Schritte zur Lösung

\frac{d}{d x} (x^{\frac{2}{3}} - a^{\frac{2}{3}})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (x^{\frac{2}{3}}) - \frac{d}{d x} (a^{\frac{2}{3}})

\frac{d}{d x} (x^{\frac{2}{3}}) = \frac{2}{3 x ^{\frac{1}{3}}}

\frac{d}{d x} (a^{\frac{2}{3}}) = 0

= \frac{2}{3 x ^{\frac{1}{3}}} - 0

Vereinfache

= \frac{2}{3 x ^{\frac{1}{3}}}