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Beliebt Funktionen >

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

Lösung

extrempunkte

\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 sin(x)cos(x)

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extreme f(x)=x^{1/5}(x+24)

e x t re m e f (x) = x^{\frac{1}{5}} (x + 24)

extreme (6|x|)/(|x-1|)

e x t re m e \frac{6 ∣ x ∣}{∣ x - 1 ∣}

extreme (2x-6)/(x+3)

e x t re m e \frac{2 x - 6}{x + 3}

extreme f(x,y)=xy+x^2+y^2+x-y+17

e x t re m e f (x, y) = x y + x^{2} + y^{2} + x - y + 17