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Beliebt Rechnen >

derivative of 120x^3-240x^2+120x

Lösung

\frac{d}{d x} (120 x^{3} - 240 x^{2} + 120 x)

Lösung

360 x^{2} - 480 x + 120

Schritte zur Lösung

\frac{d}{d x} (120 x^{3} - 240 x^{2} + 120 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (120 x^{3}) - \frac{d}{d x} (240 x^{2}) + \frac{d}{d x} (120 x)

\frac{d}{d x} (120 x^{3}) = 360 x^{2}

\frac{d}{d x} (240 x^{2}) = 480 x

\frac{d}{d x} (120 x) = 120

= 360 x^{2} - 480 x + 120

Graph

Beliebte Beispiele

integral of cos(x)+1/5 x

\int cos (x) + \frac{1}{5} x d x

integral from 2 to 5 of 8x^7

\int_{2}^{5} 8 x^{7} d x

fläche y=-1/5 x^2-6/5 x+7/5 ,(-5,5)

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\int e^{x} \cdot sin (2 x) d x

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\frac{d}{d x} (3 5 x + 4 x^{\frac{1}{2}} - 3 x)