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Beliebt Rechnen >

d/(dm)(5m^2+15m^3)

Lösung

\frac{d}{d m} (5 m^{2} + 15 m^{3})

Lösung

10 m + 45 m^{2}

Schritte zur Lösung

\frac{d}{d m} (5 m^{2} + 15 m^{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d m} (5 m^{2}) + \frac{d}{d m} (15 m^{3})

\frac{d}{d m} (5 m^{2}) = 10 m

\frac{d}{d m} (15 m^{3}) = 45 m^{2}

= 10 m + 45 m^{2}

Graph

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