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Beliebt Funktionen >

extreme (x^2-2x+4)/(x-2)

Lösung

extrempunkte

\frac{x ^{2} - 2 x + 4}{x - 2}

Lösung

Maximum (0, - 2), Minimum (4, 6)

Schritte zur Lösung

f^{'} (x) = \frac{x ^{2} - 4 x}{( x - 2 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 2,

Absteigend

: 2 < x < 4,

Ansteigend

: 4 < x < \infty

Stecke

x = 0

in

\frac{x ^{2} - 2 x + 4}{x - 2} : - 2

Maximum (0, - 2)

Stecke

x = 4

in

\frac{x ^{2} - 2 x + 4}{x - 2} : 6

Minimum (4, 6)

Maximum (0, - 2), Minimum (4, 6)

Graph

Beliebte Beispiele

extreme f(x,y)=x^2+y^2=8

e x t re m e f (x, y) = x^{2} + y^{2} = 8

extreme f(x/y)=xsqrt(y)+ysqrt(x)

e x t re m e f (\frac{x}{y}) = x y + y x

extreme f(x)=2x^5-3x^3+8x-10

e x t re m e f (x) = 2 x^{5} - 3 x^{3} + 8 x - 10

extreme f(x)=x^2+3(x)((500)/(x^2))

e x t re m e f (x) = x^{2} + 3 (x) (\frac{500}{x ^{2}})

extreme (x-3)/(x^2-18x+81)

e x t re m e \frac{x - 3}{x ^{2} - 18 x + 81}