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)=3x^2-4x^3

Lösung

extrempunkte

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

Lösung

Minimum (0, 0), Maximum (\frac{1}{2}, \frac{1}{4})

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < \frac{1}{2},

Absteigend

: \frac{1}{2} < x < \infty

Stecke

x = 0

in

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

Minimum (0, 0)

Stecke

x = \frac{1}{2}

in

3 x^{2} - 4 x^{3} : \frac{1}{4}

Maximum (\frac{1}{2}, \frac{1}{4})

Minimum (0, 0), Maximum (\frac{1}{2}, \frac{1}{4})

Graph

Beliebte Beispiele

extreme f(x)=(x^2-3x+5)e^{-x/3}

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

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

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

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

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

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

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

extreme f(x)=3x^3-5x

e x t re m e f (x) = 3 x^{3} - 5 x