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Beliebt Funktionen >

extreme f(x)=x^4-8x^2-6

Lösung

extrempunkte

f (x) = x^{4} - 8 x^{2} - 6

Lösung

Minimum (- 2, - 22), Maximum (0, - 6), Minimum (2, - 22)

Schritte zur Lösung

f^{'} (x) = 4 x^{3} - 16 x

Intervalle finden:

Absteigend

: - \infty < x < - 2,

Ansteigend

: - 2 < x < 0,

Absteigend

: 0 < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = - 2

in

x^{4} - 8 x^{2} - 6 : - 22

Minimum (- 2, - 22)

Stecke

x = 0

in

x^{4} - 8 x^{2} - 6 : - 6

Maximum (0, - 6)

Stecke

x = 2

in

x^{4} - 8 x^{2} - 6 : - 22

Minimum (2, - 22)

Minimum (- 2, - 22), Maximum (0, - 6), Minimum (2, - 22)

Graph

Beliebte Beispiele

extreme f(x)=x^4-8x^2-7

e x t re m e f (x) = x^{4} - 8 x^{2} - 7

extreme f(x,y)=y^3+2y^2x+5yx^2-5y

e x t re m e f (x, y) = y^{3} + 2 y^{2} x + 5 y x^{2} - 5 y

extreme h(v,t)=3vt-9t^2

e x t re m e h (v, t) = 3 v t - 9 t^{2}

extreme f(x)=((2x-9))/x

e x t re m e f (x) = \frac{( 2 x - 9 )}{x}

extreme f(x,y)=400-9x^2-36y^2

e x t re m e f (x, y) = 400 - 9 x^{2} - 36 y^{2}