derivative of x^{1/3}+2x

Lösung

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

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (2 x) = 2

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