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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Minimum (0, 3), Maximum (1, 4)

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < 1,

Absteigend

: 1 < x < \infty

Stecke

x = 0

in

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

Minimum (0, 3)

Stecke

x = 1

in

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

Maximum (1, 4)

Minimum (0, 3), Maximum (1, 4)

Graph

Beliebte Beispiele

extreme f(x)=x^4-72x+5

e x t re m e f (x) = x^{4} - 72 x + 5

extreme f(x,y)=3e^{x^2+y^2}

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

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

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

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

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

e x t re m e 2 x^{2} + 9