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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Minimum (- 2, 2), Minimum (2, 2)

Schritte zur Lösung

f^{'} (x) = \frac{x ^{3} - 2 x}{( x ^{2} - 1 ) x ^{2} - 1}

Intervalle finden:

Absteigend

: - \infty < x < - 2,

Ansteigend

: - 2 < x < - 1,

Absteigend

: 1 < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = - 2

in

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

Minimum (- 2, 2)

Stecke

x = 2

in

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

Minimum (2, 2)

Minimum (- 2, 2), Minimum (2, 2)

Graph

Beliebte Beispiele

extreme f(t)=u^1(t)+2u^3(t)-6u^4(t)

e x t re m e f (t) = u^{1} (t) + 2 u^{3} (t) - 6 u^{4} (t)

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

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

extreme f(x)=x^2-5x+6

e x t re m e f (x) = x^{2} - 5 x + 6

extreme f(x)=xsqrt(x+2)

e x t re m e f (x) = x x + 2

extreme f(x)=4xy-x^4-y^4

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