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Beliebt Funktionen >

extreme f(x)=(x^2)/(x^2-3)

Lösung

extrempunkte

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

Lösung

Maximum (0, 0)

Schritte zur Lösung

f^{'} (x) = - \frac{6 x}{( x ^{2} - 3 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < - 3,

Ansteigend

: - 3 < x < 0,

Absteigend

: 0 < x < 3,

Absteigend

: 3 < x < \infty

Stecke

x = 0

in

\frac{x ^{2}}{x ^{2} - 3} : 0

Maximum (0, 0)

Graph

Beliebte Beispiele

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

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

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

e x t re m e f (x) = \frac{1}{x + 2}

extreme f(x,y)=x^3+y^3-3x^2-6y^2-9x

e x t re m e f (x, y) = x^{3} + y^{3} - 3 x^{2} - 6 y^{2} - 9 x

extreme f(x)=3cos(3x),-pi/2 <= x<= pi/2

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

extreme y=x^4-18x^2

e x t re m e y = x^{4} - 18 x^{2}