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Beliebt Funktionen >

extreme x^4-4x^3+4

Lösung

extrempunkte

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

Lösung

Sattel (0, 4), Minimum (3, - 23)

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 3,

Ansteigend

: 3 < x < \infty

Stecke

x = 0

in

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

Sattel (0, 4)

Stecke

x = 3

in

x^{4} - 4 x^{3} + 4 : - 23

Minimum (3, - 23)

Sattel (0, 4), Minimum (3, - 23)

Graph

Beliebte Beispiele

extreme f(x)=x^{1/3 (4x^2-14x-224)}

e x t re m e f (x) = x^{\frac{1}{3} (4 x^{2} - 14 x - 224)}

extreme f(x)=9-x^2-y^2

e x t re m e f (x) = 9 - x^{2} - y^{2}

extreme y=3x^2-2x+1

e x t re m e y = 3 x^{2} - 2 x + 1

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

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

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

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