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Beliebt Funktionen >

extreme f(x)=x^4-242x^2-5

Lösung

extrempunkte

f (x) = x^{4} - 242 x^{2} - 5

Lösung

Minimum (- 11, - 14646), Maximum (0, - 5), Minimum (11, - 14646)

Schritte zur Lösung

f^{'} (x) = 4 x^{3} - 484 x

Intervalle finden:

Absteigend

: - \infty < x < - 11,

Ansteigend

: - 11 < x < 0,

Absteigend

: 0 < x < 11,

Ansteigend

: 11 < x < \infty

Stecke

x = - 11

in

x^{4} - 242 x^{2} - 5 : - 14646

Minimum (- 11, - 14646)

Stecke

x = 0

in

x^{4} - 242 x^{2} - 5 : - 5

Maximum (0, - 5)

Stecke

x = 11

in

x^{4} - 242 x^{2} - 5 : - 14646

Minimum (11, - 14646)

Minimum (- 11, - 14646), Maximum (0, - 5), Minimum (11, - 14646)

Graph

Beliebte Beispiele

extreme f(x)=20x-10sqrt(x-2)

e x t re m e f (x) = 20 x - 10 x - 2

extreme 2x^3+6x^2-90x

e x t re m e 2 x^{3} + 6 x^{2} - 90 x

extreme F(x,y)=6-3x-2y

e x t re m e F (x, y) = 6 - 3 x - 2 y

extreme f(x)=x^3-2x^2-15x+1

e x t re m e f (x) = x^{3} - 2 x^{2} - 15 x + 1

extreme f(x)=x^4-242x^2+7

e x t re m e f (x) = x^{4} - 242 x^{2} + 7