d/(d{r)}(1/(2sqrt({r))}+1/(3{r)^{2/3}})

Lösung

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

- \frac{1}{4 r ^{\frac{3}{2}}} - \frac{2}{9 r ^{\frac{5}{3}}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d r} (\frac{1}{3 r ^{\frac{2}{3}}}) = - \frac{2}{9 r ^{\frac{5}{3}}}

= - \frac{1}{4 r ^{\frac{3}{2}}} - \frac{2}{9 r ^{\frac{5}{3}}}

\frac{d}{d x} (f (h, x) (g (h, x) (h (x))))

d er i v a t i v e (x + 1)^{2}

\frac{d y}{d x} = \frac{x ^{3} + 2 y ^{3}}{x y ^{2}}

in v erse l a pl a ce e^{- π s} \frac{2}{s ^{3}}

d er i v a t i v e 2 x csc (x) - x^{2} cot (x) csc (x)