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Beliebt Funktionen >

extreme x^4-242x^2-2

Lösung

extrempunkte

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

Lösung

Minimum (- 11, - 14643), Maximum (0, - 2), Minimum (11, - 14643)

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} - 2 : - 14643

Minimum (- 11, - 14643)

Stecke

x = 0

in

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

Maximum (0, - 2)

Stecke

x = 11

in

x^{4} - 242 x^{2} - 2 : - 14643

Minimum (11, - 14643)

Minimum (- 11, - 14643), Maximum (0, - 2), Minimum (11, - 14643)

Graph

Beliebte Beispiele

extreme f(x)=x(20-2x)(32-2x),0<x<10

e x t re m e f (x) = x (20 - 2 x) (32 - 2 x), 0 < x < 10

extreme f(x)=3|x-1|,0<x<3

e x t re m e f (x) = 3 ∣ x - 1 ∣, 0 < x < 3

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

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

extreme f(x,y)=x^3+y^3+xy

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

extreme f(x)=2+x^{2/5}

e x t re m e f (x) = 2 + x^{\frac{2}{5}}