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Beliebt Funktionen >

extreme 12+6x^2-x^3

Lösung

extrempunkte

12 + 6 x^{2} - x^{3}

Lösung

Minimum (0, 12), Maximum (4, 44)

Schritte zur Lösung

f^{'} (x) = - 3 x^{2} + 12 x

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < 4,

Absteigend

: 4 < x < \infty

Stecke

x = 0

in

12 + 6 x^{2} - x^{3} : 12

Minimum (0, 12)

Stecke

x = 4

in

12 + 6 x^{2} - x^{3} : 44

Maximum (4, 44)

Minimum (0, 12), Maximum (4, 44)

Graph

Beliebte Beispiele

extreme f(x,y)=x^4+x^2-6xy+3y^2

e x t re m e f (x, y) = x^{4} + x^{2} - 6 x y + 3 y^{2}

extreme f(x,y)=3x+3y

e x t re m e f (x, y) = 3 x + 3 y

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

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

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

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

extreme f(x)= 1/4 x^4-4/3 x^3+2x^2

e x t re m e f (x) = \frac{1}{4} x^{4} - \frac{4}{3} x^{3} + 2 x^{2}