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Beliebt Funktionen >

extreme x^3-4x^2

Lösung

extrempunkte

x^{3} - 4 x^{2}

Lösung

Maximum (0, 0), Minimum (\frac{8}{3}, - \frac{256}{27})

Schritte zur Lösung

f^{'} (x) = 3 x^{2} - 8 x

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < \frac{8}{3},

Ansteigend

: \frac{8}{3} < x < \infty

Stecke

x = 0

in

x^{3} - 4 x^{2} : 0

Maximum (0, 0)

Stecke

x = \frac{8}{3}

in

x^{3} - 4 x^{2} : - \frac{256}{27}

Minimum (\frac{8}{3}, - \frac{256}{27})

Maximum (0, 0), Minimum (\frac{8}{3}, - \frac{256}{27})

Graph

Beliebte Beispiele

extreme y=x^2-2x+6

e x t re m e y = x^{2} - 2 x + 6

extreme f(xy)=x^3+4y^2-3x+1

e x t re m e f (x y) = x^{3} + 4 y^{2} - 3 x + 1

extreme f(x)=(x 5/3)/(2+x)

e x t re m e f (x) = \frac{x \frac{5}{3}}{2 + x}

extreme f(x)=-14+7x-x^2

e x t re m e f (x) = - 14 + 7 x - x^{2}

extreme 2xsqrt(4-x^2)

e x t re m e 2 x 4 - x^{2}