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Beliebt Funktionen >

extreme x^3-2x^2

Lösung

extrempunkte

x^{3} - 2 x^{2}

Lösung

Maximum (0, 0), Minimum (\frac{4}{3}, - \frac{32}{27})

Schritte zur Lösung

f^{'} (x) = 3 x^{2} - 4 x

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < \frac{4}{3},

Ansteigend

: \frac{4}{3} < x < \infty

Stecke

x = 0

in

x^{3} - 2 x^{2} : 0

Maximum (0, 0)

Stecke

x = \frac{4}{3}

in

x^{3} - 2 x^{2} : - \frac{32}{27}

Minimum (\frac{4}{3}, - \frac{32}{27})

Maximum (0, 0), Minimum (\frac{4}{3}, - \frac{32}{27})

Graph

Beliebte Beispiele

extreme y= x/2+2/x

e x t re m e y = \frac{x}{2} + \frac{2}{x}

extreme f(x)=(2x-2)/(x^2-10x+25)

e x t re m e f (x) = \frac{2 x - 2}{x ^{2} - 10 x + 25}

extreme f(x,y)=5xy

e x t re m e f (x, y) = 5 x y

extreme f(x)= 2/(1+x^2)

e x t re m e f (x) = \frac{2}{1 + x ^{2}}

extreme (x^2-x-6)/(2x+4)

e x t re m e \frac{x ^{2} - x - 6}{2 x + 4}