en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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)

Popular Examples

extreme 5x+1+2/(x-2)extreme points

5 x + 1 + \frac{2}{x - 2}

extreme f(x)=x^3-3x+8 extreme points

f (x) = x^{3} - 3 x + 8

extreme y=(x^2-3)e^x extreme points

y = (x^{2} - 3) e^{x}

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

f (x) = x^{3} - 3 x - 5

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

f (x) = 3 x^{2} + 6 x + 1

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)