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Beliebt Funktionen >

extreme (4x^2)/(x^2-4)

Lösung

extrempunkte

\frac{4 x ^{2}}{x ^{2} - 4}

Lösung

Maximum (0, 0)

Schritte zur Lösung

f^{'} (x) = - \frac{32 x}{( x ^{2} - 4 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < - 2,

Ansteigend

: - 2 < x < 0,

Absteigend

: 0 < x < 2,

Absteigend

: 2 < x < \infty

Stecke

x = 0

in

\frac{4 x ^{2}}{x ^{2} - 4} : 0

Maximum (0, 0)

Graph

Beliebte Beispiele

extreme f(x)=2x^3-21x^2+60x,0<= x<= 6

e x t re m e f (x) = 2 x^{3} - 21 x^{2} + 60 x, 0 \leq x \leq 6

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

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

extreme f(x)=3x^5-10x^3

e x t re m e f (x) = 3 x^{5} - 10 x^{3}

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

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

extreme f(x,y)=2x^2+3xy+y^2+ax+5

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