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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Minimum (0, - 1), Maximum (2, \frac{1}{3})

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < 2,

Absteigend

: 2 < x < \infty

Stecke

x = 0

in

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

Minimum (0, - 1)

Stecke

x = 2

in

\frac{x - 1}{x ^{2} - x + 1} : \frac{1}{3}

Maximum (2, \frac{1}{3})

Minimum (0, - 1), Maximum (2, \frac{1}{3})

Graph

Beliebte Beispiele

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

e x t re m e f (y) = 2 x^{2} - 9 x + 5

extreme 2x+sqrt(1-2x)

e x t re m e 2 x + 1 - 2 x

extreme 1x^3-4x^2-3x+30

e x t re m e 1 x^{3} - 4 x^{2} - 3 x + 30

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

e x t re m e f (x) = \frac{x}{x ^{2}} + 1

extreme ay=(x-9)e^x

e x t re m e a y = (x - 9) e^{x}