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Beliebt Funktionen >

extreme f(x)=2x^3-3x^2-12x+18

Lösung

extrempunkte

f (x) = 2 x^{3} - 3 x^{2} - 12 x + 18

Lösung

Maximum (- 1, 25), Minimum (2, - 2)

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < - 1,

Absteigend

: - 1 < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = - 1

in

2 x^{3} - 3 x^{2} - 12 x + 18 : 25

Maximum (- 1, 25)

Stecke

x = 2

in

2 x^{3} - 3 x^{2} - 12 x + 18 : - 2

Minimum (2, - 2)

Maximum (- 1, 25), Minimum (2, - 2)

Graph

Beliebte Beispiele

extreme f(x,y)= 1/4 x^4-1/2 x^2+y^2

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

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

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

extreme f(x)=(x-2)(x+1)(x+4)

e x t re m e f (x) = (x - 2) (x + 1) (x + 4)

extreme f(x)=x^3-3x-3

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

extreme x^2+y^2-xy

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