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Beliebt Funktionen >

extreme f(x)=((2x^2))/(9-x^2)

Lösung

extrempunkte

f (x) = \frac{( 2 x ^{2} )}{9 - x ^{2}}

Lösung

Minimum (0, 0)

Schritte zur Lösung

f^{'} (x) = \frac{36 x}{( 9 - x ^{2} ) ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < - 3,

Absteigend

: - 3 < x < 0,

Ansteigend

: 0 < x < 3,

Ansteigend

: 3 < x < \infty

Stecke

x = 0

in

\frac{2 x ^{2}}{9 - x ^{2}} : 0

Minimum (0, 0)

Graph

Beliebte Beispiele

extreme f(x)=-1/(x-6)

e x t re m e f (x) = - \frac{1}{x - 6}

extreme f(x,y)=18x^2-3y^2-36x-128y-110

e x t re m e f (x, y) = 18 x^{2} - 3 y^{2} - 36 x - 128 y - 110

extreme f(x)=ln(3x^2+3x-10)

e x t re m e f (x) = ln (3 x^{2} + 3 x - 10)

extreme f(x)=(3x)/(x^2-9)

e x t re m e f (x) = \frac{3 x}{x ^{2} - 9}

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

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