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Beliebt Funktionen >

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

Lösung

extrempunkte

f (x) = 2 x^{3} - 6 x^{2}

Lösung

Maximum (0, 0), Minimum (2, - 8)

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = 0

in

2 x^{3} - 6 x^{2} : 0

Maximum (0, 0)

Stecke

x = 2

in

2 x^{3} - 6 x^{2} : - 8

Minimum (2, - 8)

Maximum (0, 0), Minimum (2, - 8)

Graph

Beliebte Beispiele

extreme f(x)=x^2-8x+20

e x t re m e f (x) = x^{2} - 8 x + 20

extreme f(x)=xe^{-2x^2}

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

extreme f(x,y)= 1/x+xy+1/y

e x t re m e f (x, y) = \frac{1}{x} + x y + \frac{1}{y}

extreme f(x)=2x^3-6x^2-18x+1

e x t re m e f (x) = 2 x^{3} - 6 x^{2} - 18 x + 1

extreme f(x,y)=10-x^2y+3xy+xy^2

e x t re m e f (x, y) = 10 - x^{2} y + 3 x y + x y^{2}