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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Maximum (0, - 2)

Schritte zur Lösung

f^{'} (x) = - \frac{6 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{2 + x ^{2}}{x ^{2} - 1} : - 2

Maximum (0, - 2)

Graph

Beliebte Beispiele

extreme f(x,y)=x^3+y^3+3y^2-3x-9y+2

e x t re m e f (x, y) = x^{3} + y^{3} + 3 y^{2} - 3 x - 9 y + 2

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

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

extreme f(x)= 5/2 x-(x^2)/2

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

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

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

extreme f(x,y)=6y^2+4x^2-12xy-4y

e x t re m e f (x, y) = 6 y^{2} + 4 x^{2} - 12 x y - 4 y