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Beliebt Funktionen >

extreme f(x)=x+4/(x^2)

Lösung

extrempunkte

f (x) = x + \frac{4}{x ^{2}}

Lösung

Minimum (2, 3)

Schritte zur Lösung

f^{'} (x) = 1 - \frac{8}{x ^{3}}

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = 2

in

x + \frac{4}{x ^{2}} : 3

Minimum (2, 3)

Graph

Beliebte Beispiele

extreme f(x)=(x-2)(x+1)(x+4)

e x t re m e f (x) = (x - 2) (x + 1) (x + 4)

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

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

extreme x^2+y^2-xy

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

extreme f(x)=14x^2-2x^3+4xy

e x t re m e f (x) = 14 x^{2} - 2 x^{3} + 4 x y

extreme f(x)=ln(x^2+7x+15)

e x t re m e f (x) = ln (x^{2} + 7 x + 15)