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Beliebt Funktionen >

extreme f(x)=(12)/(6-x)-x/3+8

Lösung

extrempunkte

f (x) = \frac{12}{6 - x} - \frac{x}{3} + 8

Lösung

Minimum (0, 10), Maximum (12, 2)

Schritte zur Lösung

f^{'} (x) = \frac{12}{( - x + 6 ) ^{2}} - \frac{1}{3}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < 6,

Ansteigend

: 6 < x < 12,

Absteigend

: 12 < x < \infty

Stecke

x = 0

in

\frac{12}{6 - x} - \frac{x}{3} + 8 : 10

Minimum (0, 10)

Stecke

x = 12

in

\frac{12}{6 - x} - \frac{x}{3} + 8 : 2

Maximum (12, 2)

Minimum (0, 10), Maximum (12, 2)

Graph

Beliebte Beispiele

extreme y=-2x^2+12x-8

e x t re m e y = - 2 x^{2} + 12 x - 8

extreme f(x)=x^3-3x^2-9x+6

e x t re m e f (x) = x^{3} - 3 x^{2} - 9 x + 6

extreme f(x,y)=ln(4x^2+9y^2-36)

e x t re m e f (x, y) = ln (4 x^{2} + 9 y^{2} - 36)

extreme x^3-x^2-x+2

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

extreme x^3-x^2-x+3

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