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Beliebt Funktionen >

extreme 2x^3+3x^2-12x-4

Lösung

extrempunkte

2 x^{3} + 3 x^{2} - 12 x - 4

Lösung

Maximum (- 2, 16), Minimum (1, - 11)

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < - 2,

Absteigend

: - 2 < x < 1,

Ansteigend

: 1 < x < \infty

Stecke

x = - 2

in

2 x^{3} + 3 x^{2} - 12 x - 4 : 16

Maximum (- 2, 16)

Stecke

x = 1

in

2 x^{3} + 3 x^{2} - 12 x - 4 : - 11

Minimum (1, - 11)

Maximum (- 2, 16), Minimum (1, - 11)

Graph

Beliebte Beispiele

extreme f(x)=x^2-2x-6

e x t re m e f (x) = x^{2} - 2 x - 6

extreme f(x)=x^2-2x-1

e x t re m e f (x) = x^{2} - 2 x - 1

extreme f(x)=xy+8/x+8/y

e x t re m e f (x) = x y + \frac{8}{x} + \frac{8}{y}

extreme f(x,y)=ln(xy-1)

e x t re m e f (x, y) = ln (x y - 1)

extreme f(x)=x^4-x^3-6x^2

e x t re m e f (x) = x^{4} - x^{3} - 6 x^{2}