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Beliebt Funktionen >

extreme f(x)=(18)/((x^2-9))

Lösung

extrempunkte

f (x) = \frac{18}{( x ^{2} - 9 )}

Lösung

Maximum (0, - 2)

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < - 3,

Ansteigend

: - 3 < x < 0,

Absteigend

: 0 < x < 3,

Absteigend

: 3 < x < \infty

Stecke

x = 0

in

\frac{18}{x ^{2} - 9} : - 2

Maximum (0, - 2)

Graph

Beliebte Beispiele

extreme f(x)=x^3-x^2-x+7,-1<= x<= 2

e x t re m e f (x) = x^{3} - x^{2} - x + 7, - 1 \leq x \leq 2

extreme g(t)=8t-t^4

e x t re m e g (t) = 8 t - t^{4}

extreme f(x,y)=-4xy(x+y)-9

e x t re m e f (x, y) = - 4 x y (x + y) - 9

extreme f(x,y)=ln(10-x^2-y^2)

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

extreme f(x)=(x^2-2x-3)/(x+5),-1<= x<= 3

e x t re m e f (x) = \frac{x ^{2} - 2 x - 3}{x + 5}, - 1 \leq x \leq 3