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}}}

d er i v a t i v e \frac{( x + 2 ) ( 2 x + 4 )}{- x ^{2} - x - 2}

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

\frac{d}{d x} (ln (\frac{( 2 x + 9 ) ^{3}}{x ^{2}}))

\frac{d}{d x} ((arcsin (5 x))^{2 x})

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