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Beliebt Rechnen >

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

Lösung

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

Lösung

3 x^{2} - 6 x + 3

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

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

Graph

Beliebte Beispiele

f (x) = x + e^{- 2 x}

derivative 6sin(t)

d er i v a t i v e 6 sin (t)

limit as x approaches 0 of x(3-cos(x^2))

x \to 0 lim (x (3 - cos (x^{2})))

fläche sqrt(x+4),sqrt(8-x),-4,8

a re a x + 4, 8 - x, - 4, 8

(\partial)/(\partial y)(x-3y)

\frac{\partial}{\partial y} (x - 3 y)