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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Maximum (0, \frac{2}{3})

Schritte zur Lösung

f^{'} (x) = - \frac{4 x}{( x ^{2} + 3 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < \infty

Stecke

x = 0

in

\frac{2}{x ^{2} + 3} : \frac{2}{3}

Maximum (0, \frac{2}{3})

Graph

Beliebte Beispiele

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

e x t re m e f (x) = x^{2} (x^{2} - 1)

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

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

extreme f(x)=(x^2-5)/(x+3)

e x t re m e f (x) = \frac{x ^{2} - 5}{x + 3}

extreme f(x)= x/(sqrt(x-4)),6<= x<= 10

e x t re m e f (x) = \frac{x}{x - 4}, 6 \leq x \leq 10

extreme f(x)=(x-1)^2+(y-2)^2

e x t re m e f (x) = (x - 1)^{2} + (y - 2)^{2}