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Beliebt Funktionen >

extreme f(x)=((x^2-8))/(x-3)

Lösung

extrempunkte

f (x) = \frac{( x ^{2} - 8 )}{x - 3}

Lösung

Maximum (2, 4), Minimum (4, 8)

Schritte zur Lösung

f^{'} (x) = \frac{x ^{2} - 6 x + 8}{( x - 3 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < 2,

Absteigend

: 2 < x < 3,

Absteigend

: 3 < x < 4,

Ansteigend

: 4 < x < \infty

Stecke

x = 2

in

\frac{x ^{2} - 8}{x - 3} : 4

Maximum (2, 4)

Stecke

x = 4

in

\frac{x ^{2} - 8}{x - 3} : 8

Minimum (4, 8)

Maximum (2, 4), Minimum (4, 8)

Graph

Beliebte Beispiele

extreme q(x,y)=x^2-xy+5y^2

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

extreme f(x,y)=6-x^2-4x-y^2

e x t re m e f (x, y) = 6 - x^{2} - 4 x - y^{2}

extreme f(x)=5x^3-4

e x t re m e f (x) = 5 x^{3} - 4

extreme f(x)=x^2-4x+16

e x t re m e f (x) = x^{2} - 4 x + 16

extreme f(x)=x^3+y^2-6xy+6x+3y-2

e x t re m e f (x) = x^{3} + y^{2} - 6 x y + 6 x + 3 y - 2