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Beliebt Funktionen >

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

Lösung

extrempunkte

f (x) = \frac{x ^{2}}{( x ^{2} - 1 )}

Lösung

Maximum (0, 0)

Schritte zur Lösung

f^{'} (x) = - \frac{2 x}{( x ^{2} - 1 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < - 1,

Ansteigend

: - 1 < x < 0,

Absteigend

: 0 < x < 1,

Absteigend

: 1 < x < \infty

Stecke

x = 0

in

\frac{x ^{2}}{x ^{2} - 1} : 0

Maximum (0, 0)

Graph

Beliebte Beispiele

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

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

extreme f(x)=2x-3x^{2/3},-1<= x<= 3

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

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

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

extreme f(x)=2cos(x)+sin^2(x)

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

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

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