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Beliebt Funktionen >

extreme f(x)=3x^2+(48)/(x^2)

Lösung

extrempunkte

f (x) = 3 x^{2} + \frac{48}{x ^{2}}

Lösung

Minimum (- 2, 24), Minimum (2, 24)

Schritte zur Lösung

f^{'} (x) = 6 x - \frac{96}{x ^{3}}

Intervalle finden:

Absteigend

: - \infty < x < - 2,

Ansteigend

: - 2 < x < 0,

Absteigend

: 0 < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = - 2

in

3 x^{2} + \frac{48}{x ^{2}} : 24

Minimum (- 2, 24)

Stecke

x = 2

in

3 x^{2} + \frac{48}{x ^{2}} : 24

Minimum (2, 24)

Minimum (- 2, 24), Minimum (2, 24)

Graph

Beliebte Beispiele

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

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

extreme f(x)=2xy-15y^2

e x t re m e f (x) = 2 x y - 15 y^{2}

extreme f(x)=6sin(x)+cot(x)

e x t re m e f (x) = 6 sin (x) + cot (x)

extreme f(x)=2+(x+1)^2

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

extreme f(x,y)=5+4x+6y-x^2-3y^2

e x t re m e f (x, y) = 5 + 4 x + 6 y - x^{2} - 3 y^{2}