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Beliebt Funktionen >

extreme f(x)=x^4-18x^2-3

Lösung

extrempunkte

f (x) = x^{4} - 18 x^{2} - 3

Lösung

Minimum (- 3, - 84), Maximum (0, - 3), Minimum (3, - 84)

Schritte zur Lösung

f^{'} (x) = 4 x^{3} - 36 x

Intervalle finden:

Absteigend

: - \infty < x < - 3,

Ansteigend

: - 3 < x < 0,

Absteigend

: 0 < x < 3,

Ansteigend

: 3 < x < \infty

Stecke

x = - 3

in

x^{4} - 18 x^{2} - 3 : - 84

Minimum (- 3, - 84)

Stecke

x = 0

in

x^{4} - 18 x^{2} - 3 : - 3

Maximum (0, - 3)

Stecke

x = 3

in

x^{4} - 18 x^{2} - 3 : - 84

Minimum (3, - 84)

Minimum (- 3, - 84), Maximum (0, - 3), Minimum (3, - 84)

Graph

Beliebte Beispiele

extreme f(x)=x^4-18x^2+5

e x t re m e f (x) = x^{4} - 18 x^{2} + 5

extreme f(x)=(x^3-4xy)e^{-2y}

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

extreme f(x)=-2(x-3)(x+5)

e x t re m e f (x) = - 2 (x - 3) (x + 5)

extreme x^3-2x^2-15x+5,-2<= x<= 0

e x t re m e x^{3} - 2 x^{2} - 15 x + 5, - 2 \leq x \leq 0

extreme x^2+yx+y^2

e x t re m e x^{2} + y x + y^{2}