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Beliebt Funktionen >

extreme f(x)=(x^2-12)/(x-4)

Lösung

extrempunkte

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

Lösung

Maximum (2, 4), Minimum (6, 12)

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} - 12}{x - 4} : 4

Maximum (2, 4)

Stecke

x = 6

in

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

Minimum (6, 12)

Maximum (2, 4), Minimum (6, 12)

Graph

Beliebte Beispiele

extreme ((x^2)/4-x/2-1/4)^2

e x t re m e (\frac{x ^{2}}{4} - \frac{x}{2} - \frac{1}{4})^{2}

extreme f(x,y)=x^3+y^3+3xy^2-18(x+y)

e x t re m e f (x, y) = x^{3} + y^{3} + 3 x y^{2} - 18 (x + y)

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

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

extreme y=-4e^{-4t}-5e^{-5t}

e x t re m e y = - 4 e^{- 4 t} - 5 e^{- 5 t}

extreme ((x^2-5)^3)/(125)

e x t re m e \frac{( x ^{2} - 5 ) ^{3}}{125}