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Beliebt Funktionen >

extreme f(x)=2x^3-6x^2-18x+1

Lösung

extrempunkte

f (x) = 2 x^{3} - 6 x^{2} - 18 x + 1

Lösung

Maximum (- 1, 11), Minimum (3, - 53)

Schritte zur Lösung

f^{'} (x) = 6 x^{2} - 12 x - 18

Intervalle finden:

Ansteigend

: - \infty < x < - 1,

Absteigend

: - 1 < x < 3,

Ansteigend

: 3 < x < \infty

Stecke

x = - 1

in

2 x^{3} - 6 x^{2} - 18 x + 1 : 11

Maximum (- 1, 11)

Stecke

x = 3

in

2 x^{3} - 6 x^{2} - 18 x + 1 : - 53

Minimum (3, - 53)

Maximum (- 1, 11), Minimum (3, - 53)

Graph

Beliebte Beispiele

extreme f(x,y)=10-x^2y+3xy+xy^2

e x t re m e f (x, y) = 10 - x^{2} y + 3 x y + x y^{2}

extreme y=(2sqrt(x))/(sqrt(x-6))

e x t re m e y = \frac{2 x}{x - 6}

extreme f(x)=(x-1)(x+3)

e x t re m e f (x) = (x - 1) (x + 3)

extreme f(x)=x^4-8x^2-2

e x t re m e f (x) = x^{4} - 8 x^{2} - 2

extreme f(x)=-2x^3+9x^2-10x+3

e x t re m e f (x) = - 2 x^{3} + 9 x^{2} - 10 x + 3