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Beliebt Funktionen >

extreme (x^2-6x+12)/(x-4)

Lösung

extrempunkte

\frac{x ^{2} - 6 x + 12}{x - 4}

Lösung

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

Schritte zur Lösung

f^{'} (x) = \frac{x ^{2} - 8 x + 12}{( x - 4 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < 2,

Absteigend

: 2 < x < 4,

Absteigend

: 4 < x < 6,

Ansteigend

: 6 < x < \infty

Stecke

x = 2

in

\frac{x ^{2} - 6 x + 12}{x - 4} : - 2

Maximum (2, - 2)

Stecke

x = 6

in

\frac{x ^{2} - 6 x + 12}{x - 4} : 6

Minimum (6, 6)

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

Graph

Beliebte Beispiele

extreme f(x)=(2x^2-2)^2

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

extreme y=sqrt(|x|)

e x t re m e y = ∣ x ∣

extreme f(x)=2x-3sin(x)

e x t re m e f (x) = 2 x - 3 sin (x)

extreme e^x(x-6)

e x t re m e e^{x} (x - 6)

extreme f(x)=(sqrt(5^2-x^2))/x

e x t re m e f (x) = \frac{5 ^{2} - x ^{2}}{x}