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)=4x^3-2x^2

Lösung

extrempunkte

f (x) = 4 x^{3} - 2 x^{2}

Lösung

Maximum (0, 0), Minimum (\frac{1}{3}, - \frac{2}{27})

Schritte zur Lösung

f^{'} (x) = 12 x^{2} - 4 x

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < \frac{1}{3},

Ansteigend

: \frac{1}{3} < x < \infty

Stecke

x = 0

in

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

Maximum (0, 0)

Stecke

x = \frac{1}{3}

in

4 x^{3} - 2 x^{2} : - \frac{2}{27}

Minimum (\frac{1}{3}, - \frac{2}{27})

Maximum (0, 0), Minimum (\frac{1}{3}, - \frac{2}{27})

Graph

Beliebte Beispiele

extreme f(x)=(1-cos(x))^2

e x t re m e f (x) = (1 - cos (x))^{2}

extreme f(x,y)=sqrt(400-49x^2-81y^2)

e x t re m e f (x, y) = 400 - 49 x^{2} - 81 y^{2}

extreme f(t)=3t+1/t

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

extreme f(x)= 9/2 x^2-ln(x)

e x t re m e f (x) = \frac{9}{2} x^{2} - ln (x)

extreme f(x)=3x+1

e x t re m e f (x) = 3 x + 1