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Beliebt Rechnen >

d/(d{r)}({r}^3-{r}^2)

Lösung

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

Lösung

3 r^{2} - 2 r

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 3 r^{2} - 2 r

Beliebte Beispiele

derivative x=5t^2-2t+7

d er i v a t i v e x = 5 t^{2} - 2 t + 7

derivative (1/5)^x

d er i v a t i v e (\frac{1}{5})^{x}

derivative y=x^3+2x-1

d er i v a t i v e y = x^{3} + 2 x - 1

derivative a^{1/x}

d er i v a t i v e a^{\frac{1}{x}}

derivative 3ln(2x-1)

d er i v a t i v e 3 ln (2 x - 1)