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Beliebt Rechnen >

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

Lösung

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

Lösung

9 x^{2} - 6 x - 3

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (3 x^{3}) = 9 x^{2}

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

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

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

= 9 x^{2} - 6 x - 3 + 0

Vereinfache

= 9 x^{2} - 6 x - 3

Graph

Beliebte Beispiele

normal y=x^2,(3,9)

n or ma l y = x^{2}, (3, 9)

limit as x approaches-2 of 2x^2-x+3

x \to - 2 lim (2 x^{2} - x + 3)

derivative of (8x/(1-tan(x)))

\frac{d}{d x} (\frac{8 x}{1 - tan ( x )})

integral from 0 to 4 of 0.5e^{-0.5t}

\int_{0}^{4} 0.5 e^{- 0.5 t} d t

integral of 8sin^3(x)cos^7(x)

\int 8 sin^{3} (x) cos^{7} (x) d x