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)=xln(x/2)

Lösung

extrempunkte

f (x) = x ln (\frac{x}{2})

Lösung

Minimum (\frac{2}{e}, - \frac{2}{e})

Schritte zur Lösung

f^{'} (x) = ln (\frac{x}{2}) + 1

Intervalle finden:

Absteigend

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

Ansteigend

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

Stecke

x = \frac{2}{e}

in

x ln (\frac{x}{2}) : - \frac{2}{e}

Minimum (\frac{2}{e}, - \frac{2}{e})

Graph

Beliebte Beispiele

extreme f(x)= 1/2 (3x-1)

e x t re m e f (x) = \frac{1}{2} (3 x - 1)

extreme f(x)=-(2x)/(5x^2+8)

e x t re m e f (x) = - \frac{2 x}{5 x ^{2} + 8}

extreme f(x)=2x^3+6x-90x+5,-5<x<4

e x t re m e f (x) = 2 x^{3} + 6 x - 90 x + 5, - 5 < x < 4

extreme f(x)=(x^4)/4-(8x^3)/3-32x^2+512x

e x t re m e f (x) = \frac{x ^{4}}{4} - \frac{8 x ^{3}}{3} - 32 x^{2} + 512 x

extreme e^{3x}(4-x)

e x t re m e e^{3 x} (4 - x)