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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 Q(x,y)=(x+3y)(x-3xy+9y)

e x t re m e Q (x, y) = (x + 3 y) (x - 3 x y + 9 y)

d/(da)(a^5+a^2b^3-a^3b^2-b^5)

\frac{d}{d a} (a^{5} + a^{2} b^{3} - a^{3} b^{2} - b^{5})

extreme f(x)= 2/3 x^3-7/2 x^2+3x+16

e x t re m e f (x) = \frac{2}{3} x^{3} - \frac{7}{2} x^{2} + 3 x + 16

extreme sqrt(x)ln(3x)

e x t re m e x ln (3 x)

extreme f(x)= 1/x-ln(x)

e x t re m e f (x) = \frac{1}{x} - ln (x)