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Beliebt Funktionen >

extreme x^3-6x^2+8

Lösung

extrempunkte

x^{3} - 6 x^{2} + 8

Lösung

Maximum (0, 8), Minimum (4, - 24)

Schritte zur Lösung

f^{'} (x) = 3 x^{2} - 12 x

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 4,

Ansteigend

: 4 < x < \infty

Stecke

x = 0

in

x^{3} - 6 x^{2} + 8 : 8

Maximum (0, 8)

Stecke

x = 4

in

x^{3} - 6 x^{2} + 8 : - 24

Minimum (4, - 24)

Maximum (0, 8), Minimum (4, - 24)

Graph

Beliebte Beispiele

extreme f(x)=(x-5)/(x^2-6x+9)

e x t re m e f (x) = \frac{x - 5}{x ^{2} - 6 x + 9}

extreme f(x)=xsqrt(x^2+4)

e x t re m e f (x) = x x^{2} + 4

extreme f(x,y)=sqrt(4+2x-4y-x^2-y^2)

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

extreme f(x)=x^3(x+4)

e x t re m e f (x) = x^{3} (x + 4)

extreme f(x,y)=x^3+y^3-27xy

e x t re m e f (x, y) = x^{3} + y^{3} - 27 x y