derivative 1/(2sqrt(r))+1/(6r^{5/6)}

Lösung

ableitung von

\frac{1}{2 r} + \frac{1}{6 r ^{\frac{5}{6}}}

- \frac{1}{4 r ^{\frac{3}{2}}} - \frac{5}{36 r ^{\frac{11}{6}}}

Schritte zur Lösung

\frac{d}{d r} (\frac{1}{2 r} + \frac{1}{6 r ^{\frac{5}{6}}})

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}{6 r ^{\frac{5}{6}}})

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

\frac{d}{d r} (\frac{1}{6 r ^{\frac{5}{6}}}) = - \frac{5}{36 r ^{\frac{11}{6}}}

= - \frac{1}{4 r ^{\frac{3}{2}}} - \frac{5}{36 r ^{\frac{11}{6}}}