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Beliebt Funktionen >

extreme-x^3+6x^2-9x

Lösung

extrempunkte

- x^{3} + 6 x^{2} - 9 x

Lösung

Minimum (1, - 4), Maximum (3, 0)

Schritte zur Lösung

f^{'} (x) = - 3 x^{2} + 12 x - 9

Intervalle finden:

Absteigend

: - \infty < x < 1,

Ansteigend

: 1 < x < 3,

Absteigend

: 3 < x < \infty

Stecke

x = 1

in

- x^{3} + 6 x^{2} - 9 x : - 4

Minimum (1, - 4)

Stecke

x = 3

in

- x^{3} + 6 x^{2} - 9 x : 0

Maximum (3, 0)

Minimum (1, - 4), Maximum (3, 0)

Graph

Beliebte Beispiele

e x t re m e ln (u)

extreme ye^{x^2-y^2}

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

extreme (x^3)/(x-2)

e x t re m e \frac{x ^{3}}{x - 2}

extreme f(x)=sqrt(-x^2+4),-1<= x<= 2

e x t re m e f (x) = - x^{2} + 4, - 1 \leq x \leq 2

extreme f(x)=20x^3+9x^2-24x+12,0<= x<= 1

e x t re m e f (x) = 20 x^{3} + 9 x^{2} - 24 x + 12, 0 \leq x \leq 1