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Beliebt Funktionen >

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

Lösung

extrempunkte

f (x) = x (12 - 2 x)^{2}

Lösung

Maximum (2, 128), Minimum (6, 0)

Schritte zur Lösung

f^{'} (x) = 12 (x - 6) (x - 2)

Intervalle finden:

Ansteigend

: - \infty < x < 2,

Absteigend

: 2 < x < 6,

Ansteigend

: 6 < x < \infty

Stecke

x = 2

in

x (12 - 2 x)^{2} : 128

Maximum (2, 128)

Stecke

x = 6

in

x (12 - 2 x)^{2} : 0

Minimum (6, 0)

Maximum (2, 128), Minimum (6, 0)

Graph

Beliebte Beispiele

extreme f(x,y)=8x^3+y^3+6xy

e x t re m e f (x, y) = 8 x^{3} + y^{3} + 6 x y

extreme g(x,y)=sqrt(xy)

e x t re m e g (x, y) = x y

extreme f(x,y)=x^3+y^3-3x-12y+20

e x t re m e f (x, y) = x^{3} + y^{3} - 3 x - 12 y + 20

extreme f(x)=x^3-6x^2+5,-3<= x<= 5

e x t re m e f (x) = x^{3} - 6 x^{2} + 5, - 3 \leq x \leq 5

extreme f(x,y)=xye^{-x^2-y^2}

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