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Beliebt Rechnen >

d/(dy)((y^3)/(30)+5/(2y))

Lösung

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

Lösung

\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}}

Graph

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