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Beliebt Funktionen >

extreme f(x)=-2x^3+30x^2-54x+6

Lösung

extrempunkte

f (x) = - 2 x^{3} + 30 x^{2} - 54 x + 6

Lösung

Minimum (1, - 20), Maximum (9, 492)

Schritte zur Lösung

f^{'} (x) = - 6 x^{2} + 60 x - 54

Intervalle finden:

Absteigend

: - \infty < x < 1,

Ansteigend

: 1 < x < 9,

Absteigend

: 9 < x < \infty

Stecke

x = 1

in

- 2 x^{3} + 30 x^{2} - 54 x + 6 : - 20

Minimum (1, - 20)

Stecke

x = 9

in

- 2 x^{3} + 30 x^{2} - 54 x + 6 : 492

Maximum (9, 492)

Minimum (1, - 20), Maximum (9, 492)

Graph

Beliebte Beispiele

extreme f(x)=-2x^3+30x^2-54x+8

e x t re m e f (x) = - 2 x^{3} + 30 x^{2} - 54 x + 8

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

extreme f(x,y)=6x-8y+7xy

e x t re m e f (x, y) = 6 x - 8 y + 7 x y

extreme f(x)=-x^3+3x^2-9

e x t re m e f (x) = - x^{3} + 3 x^{2} - 9

extreme f(x)=ysqrt(x)-x^2

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