derivative of 2/(x^{1/3}-2)

Lösung

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

- \frac{2}{3 x ^{\frac{4}{3}}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (\frac{2}{x ^{\frac{1}{3}}}) = - \frac{2}{3 x ^{\frac{4}{3}}}

\frac{d}{d x} (2) = 0

= - \frac{2}{3 x ^{\frac{4}{3}}} - 0

Vereinfache

= - \frac{2}{3 x ^{\frac{4}{3}}}