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Beliebt Funktionen >

extreme f(x)= 1/(x^2+2x+9)

Lösung

extrempunkte

f (x) = \frac{1}{x ^{2} + 2 x + 9}

Lösung

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

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < - 1,

Absteigend

: - 1 < x < \infty

Stecke

x = - 1

in

\frac{1}{x ^{2} + 2 x + 9} : \frac{1}{8}

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

Graph

Beliebte Beispiele

extreme f(x)=(x-3)^4

e x t re m e f (x) = (x - 3)^{4}

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

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

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

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

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

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

extreme f(x)=x^3+12x^2-27x+8,-10<= x<= 0

e x t re m e f (x) = x^{3} + 12 x^{2} - 27 x + 8, - 10 \leq x \leq 0