de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Funktionen >

extreme 2x^3-3x^2-12x+12

Lösung

extrempunkte

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

Lösung

Maximum (- 1, 19), Minimum (2, - 8)

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < - 1,

Absteigend

: - 1 < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = - 1

in

2 x^{3} - 3 x^{2} - 12 x + 12 : 19

Maximum (- 1, 19)

Stecke

x = 2

in

2 x^{3} - 3 x^{2} - 12 x + 12 : - 8

Minimum (2, - 8)

Maximum (- 1, 19), Minimum (2, - 8)

Graph

Beliebte Beispiele

extreme f(x)=x^3-3x+1,0<= x<= 5

e x t re m e f (x) = x^{3} - 3 x + 1, 0 \leq x \leq 5

extreme f(x)=cos(7x)

e x t re m e f (x) = cos (7 x)

extreme f(x)=x-2ln(x)

e x t re m e f (x) = x - 2 ln (x)

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

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

extreme f(x)=12+2x-x^2,0<= x<= 5

e x t re m e f (x) = 12 + 2 x - x^{2}, 0 \leq x \leq 5