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Beliebt Funktionen >

extreme 2x^4-16x^2+3

Lösung

extrempunkte

2 x^{4} - 16 x^{2} + 3

Lösung

Minimum (- 2, - 29), Maximum (0, 3), Minimum (2, - 29)

Schritte zur Lösung

f^{'} (x) = 8 x^{3} - 32 x

Intervalle finden:

Absteigend

: - \infty < x < - 2,

Ansteigend

: - 2 < x < 0,

Absteigend

: 0 < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = - 2

in

2 x^{4} - 16 x^{2} + 3 : - 29

Minimum (- 2, - 29)

Stecke

x = 0

in

2 x^{4} - 16 x^{2} + 3 : 3

Maximum (0, 3)

Stecke

x = 2

in

2 x^{4} - 16 x^{2} + 3 : - 29

Minimum (2, - 29)

Minimum (- 2, - 29), Maximum (0, 3), Minimum (2, - 29)

Graph

Beliebte Beispiele

extreme f(x)= 2/3 x^3+2x^2+6x-5

e x t re m e f (x) = \frac{2}{3} x^{3} + 2 x^{2} + 6 x - 5

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

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e x t re m e f (x) = 2 cos^{2} (x)

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extreme f(x)=4x^2+2y^2-2xy-10y-2x

e x t re m e f (x) = 4 x^{2} + 2 y^{2} - 2 x y - 10 y - 2 x