en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

extreme xe^{-2x}

Solution

extreme points

x e^{- 2 x}

Solution

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

Solution steps

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

Find intervals:

Increasing

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

Decreasing

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

Plug

x = \frac{1}{2}

into

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

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

Graph

Popular Examples

intercepts of f(x)=x^3-8x^2+9x+18

inverse of f(x)=((3x))/((x-2))

domain of f(x)=sqrt(1-2sin(x))

line (0,-3),(6,0)

inverse of f(x)=\sqrt[4]{x+3}+7

Frequently Asked Questions (FAQ)

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