derivative (y^3)/(30)+5/(2y)

Lösung

ableitung von

\frac{y ^{3}}{30} + \frac{5}{2 y}

\frac{y ^{2}}{10} - \frac{5}{2 y ^{2}}

Schritte zur Lösung

\frac{d}{d y} (\frac{y ^{3}}{30} + \frac{5}{2 y})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d y} (\frac{y ^{3}}{30}) + \frac{d}{d y} (\frac{5}{2 y})

\frac{d}{d y} (\frac{y ^{3}}{30}) = \frac{y ^{2}}{10}

\frac{d}{d y} (\frac{5}{2 y}) = - \frac{5}{2 y ^{2}}

= \frac{y ^{2}}{10} - \frac{5}{2 y ^{2}}