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Beliebt Funktionen >

extreme y=x^3-3x^2+4

Lösung

extrempunkte

y = x^{3} - 3 x^{2} + 4

Lösung

Maximum (0, 4), Minimum (2, 0)

Schritte zur Lösung

f^{'} (x) = 3 x^{2} - 6 x

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = 0

in

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

Maximum (0, 4)

Stecke

x = 2

in

x^{3} - 3 x^{2} + 4 : 0

Minimum (2, 0)

Maximum (0, 4), Minimum (2, 0)

Graph

Beliebte Beispiele

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

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

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

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

extreme f(x)=1-x^3

e x t re m e f (x) = 1 - x^{3}

extreme f(x)=100-x/(100)-y/(400)

e x t re m e f (x) = 100 - \frac{x}{100} - \frac{y}{400}

extreme f(x,y)=x^3+y^3+2x^2+4y^2+6

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