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Beliebt Funktionen >

extreme f(x)=(x-5)/(x^2-6x+9)

Lösung

extrempunkte

f (x) = \frac{x - 5}{x ^{2} - 6 x + 9}

Lösung

Maximum (7, \frac{1}{8})

Schritte zur Lösung

f^{'} (x) = - \frac{x - 7}{( x - 3 ) ^{3}}

Intervalle finden:

Absteigend

: - \infty < x < 3,

Ansteigend

: 3 < x < 7,

Absteigend

: 7 < x < \infty

Stecke

x = 7

in

\frac{x - 5}{x ^{2} - 6 x + 9} : \frac{1}{8}

Maximum (7, \frac{1}{8})

Graph

Beliebte Beispiele

extreme f(x)=xsqrt(x^2+4)

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

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

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

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

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

extreme f(x,y)=x^3+y^3-27xy

e x t re m e f (x, y) = x^{3} + y^{3} - 27 x y

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

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