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Beliebt Rechnen >

d/(d{r)}(sqrt({r)}+\sqrt[3]{{r}})

Lösung

\frac{d}{d r} (r + 3 r)

Lösung

\frac{1}{2 r} + \frac{1}{3 r ^{\frac{2}{3}}}

Schritte zur Lösung

\frac{d}{d r} (r + 3 r)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d r} (r) + \frac{d}{d r} (3 r)

\frac{d}{d r} (r) = \frac{1}{2 r}

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

= \frac{1}{2 r} + \frac{1}{3 r ^{\frac{2}{3}}}

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