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Beliebt Funktionen >

extreme ((x^2-3))/(x-2)

Lösung

extrempunkte

\frac{( x ^{2} - 3 )}{x - 2}

Lösung

Maximum (1, 2), Minimum (3, 6)

Schritte zur Lösung

f^{'} (x) = \frac{x ^{2} - 4 x + 3}{( x - 2 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < 1,

Absteigend

: 1 < x < 2,

Absteigend

: 2 < x < 3,

Ansteigend

: 3 < x < \infty

Stecke

x = 1

in

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

Maximum (1, 2)

Stecke

x = 3

in

\frac{x ^{2} - 3}{x - 2} : 6

Minimum (3, 6)

Maximum (1, 2), Minimum (3, 6)

Graph

Beliebte Beispiele

extreme y=2x^2+8x+8

e x t re m e y = 2 x^{2} + 8 x + 8

extreme-(6x)/(6x^2+8)

e x t re m e - \frac{6 x}{6 x ^{2} + 8}

extreme f(x)=14x^2-2x^3+2y^2+4xy

e x t re m e f (x) = 14 x^{2} - 2 x^{3} + 2 y^{2} + 4 x y

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

extreme f(x)=2+x^{2/3}

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