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Beliebt Funktionen >

extreme f(x)=-4x^3+12x^2-10

Lösung

extrempunkte

f (x) = - 4 x^{3} + 12 x^{2} - 10

Lösung

Minimum (0, - 10), Maximum (2, 6)

Schritte zur Lösung

f^{'} (x) = - 12 x^{2} + 24 x

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < 2,

Absteigend

: 2 < x < \infty

Stecke

x = 0

in

- 4 x^{3} + 12 x^{2} - 10 : - 10

Minimum (0, - 10)

Stecke

x = 2

in

- 4 x^{3} + 12 x^{2} - 10 : 6

Maximum (2, 6)

Minimum (0, - 10), Maximum (2, 6)

Graph

Beliebte Beispiele

extreme f(x)=2x+7ln(x)

e x t re m e f (x) = 2 x + 7 ln (x)

e x t re m e 68 - 11

monotone f(x)=x^3-75x+3

m o n o t o n e f (x) = x^{3} - 75 x + 3

symmetrie y=(x-5)^2-4

sy mm e t ry y = (x - 5)^{2} - 4

extreme-(x+1)(x-1)^2

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