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Beliebt Rechnen >

derivative of x^3-3x^2+3x-1

Lösung

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

Lösung

3 x^{2} - 6 x + 3

Schritte zur Lösung

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

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} (1)

\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

\frac{d}{d x} (1) = 0

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

Vereinfache

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

Graph

Beliebte Beispiele

integral of 6cos(sqrt(x))

\int 6 cos (x) d x

limit as x approaches 0 of sinh(x)

x \to 0 lim (sinh (x))

integral of ln(t^2-4t+5)

\int ln (t^{2} - 4 t + 5) d t

derivative of sin(x+y)

\frac{d}{d x} (sin (x + y))

x^{3} d x + y^{3} d y = 0