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Beliebt Funktionen >

extreme ((x^2+2))/((x^2-16))

Lösung

extrempunkte

\frac{( x ^{2} + 2 )}{( x ^{2} - 16 )}

Lösung

Maximum (0, - \frac{1}{8})

Schritte zur Lösung

f^{'} (x) = - \frac{36 x}{( x ^{2} - 16 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < - 4,

Ansteigend

: - 4 < x < 0,

Absteigend

: 0 < x < 4,

Absteigend

: 4 < x < \infty

Stecke

x = 0

in

\frac{x ^{2} + 2}{x ^{2} - 16} : - \frac{1}{8}

Maximum (0, - \frac{1}{8})

Graph

Beliebte Beispiele

extreme y=2x^2+5

e x t re m e y = 2 x^{2} + 5

extreme f(x)=5x^4-20x^3+1

e x t re m e f (x) = 5 x^{4} - 20 x^{3} + 1

extreme f(x)=0.001x^2+3.2x-10

e x t re m e f (x) = 0.001 x^{2} + 3.2 x - 10

extreme f(x,y)=x^2+y^2-2x-4y

e x t re m e f (x, y) = x^{2} + y^{2} - 2 x - 4 y

extreme f(x)=-7x^2-7xy-6y^2-35x-26y+9

e x t re m e f (x) = - 7 x^{2} - 7 x y - 6 y^{2} - 35 x - 26 y + 9