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Beliebt Rechnen >

derivative 3x^2+(8x)/3-2

Lösung

ableitung von

3 x^{2} + \frac{8 x}{3} - 2

Lösung

6 x + \frac{8}{3}

Schritte zur Lösung

\frac{d}{d x} (3 x^{2} + \frac{8 x}{3} - 2)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x^{2}) + \frac{d}{d x} (\frac{8 x}{3}) - \frac{d}{d x} (2)

\frac{d}{d x} (3 x^{2}) = 6 x

\frac{d}{d x} (\frac{8 x}{3}) = \frac{8}{3}

\frac{d}{d x} (2) = 0

= 6 x + \frac{8}{3} - 0

Vereinfache

= 6 x + \frac{8}{3}

Graph

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