en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

extreme f(x)=xe^{1-x/2}

Solution

extreme points

f (x) = x e^{1 - \frac{x}{2}}

Solution

Maximum (2, 2)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 2

into

x e^{1 - \frac{x}{2}} : 2

Maximum (2, 2)

Graph

Popular Examples

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

extreme f(x,y)=y^3+x^2-6xy+3x+6y-7

extreme f(x,y)=x^2+xy+y^2-3x-6y

extreme f(x)= 2/3 x^3-x^2-12x+3

extreme f(x)=-x^3+3x^2+45x-7

Frequently Asked Questions (FAQ)

What is the extreme f(x)=xe^{1-x/2} ?
The extreme f(x)=xe^{1-x/2} is Maximum(2,2)