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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Minimum (0, 0)

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: - \infty < x < - 1,

Absteigend

: - 1 < x < 0,

Ansteigend

: 0 < x < 1,

Ansteigend

: 1 < x < \infty

Stecke

x = 0

in

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

Minimum (0, 0)

Graph

Beliebte Beispiele

extreme f(x)=(x+2)^{4/3},-6<= x<= 6

e x t re m e f (x) = (x + 2)^{\frac{4}{3}}, - 6 \leq x \leq 6

extreme f(x)=-x^3+15x^2

e x t re m e f (x) = - x^{3} + 15 x^{2}

extreme f(x)=(x^2-14x+49)/(x-10)

e x t re m e f (x) = \frac{x ^{2} - 14 x + 49}{x - 10}

extreme f(x)=e^{x^3-12x}

e x t re m e f (x) = e^{x^{3} - 12 x}

extreme (x-8x^2)^{1/3}

e x t re m e (x - 8 x^{2})^{\frac{1}{3}}