de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Minimum (0, 0), Maximum (1, 1), Minimum (2, 0)

Schritte zur Lösung

f^{'} (x) = 4 x (x - 2) (x - 1)

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < 1,

Absteigend

: 1 < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = 0

in

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

Minimum (0, 0)

Stecke

x = 1

in

x^{2} (x - 2)^{2} : 1

Maximum (1, 1)

Stecke

x = 2

in

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

Minimum (2, 0)

Minimum (0, 0), Maximum (1, 1), Minimum (2, 0)

Graph

Beliebte Beispiele

extreme f(x)= 2/5 x^5-5x^4+16x^3+2

e x t re m e f (x) = \frac{2}{5} x^{5} - 5 x^{4} + 16 x^{3} + 2

extreme f(x)=x^3-5x^2+3x+12,-2<= x<= 4

e x t re m e f (x) = x^{3} - 5 x^{2} + 3 x + 12, - 2 \leq x \leq 4

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

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

extreme 110t^2e^{-1.2t}

e x t re m e 110 t^{2} e^{- 1.2 t}

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

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