en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inflection f(x)=xe^{-x}

Solution

inflection points

f (x) = x e^{- x}

Solution

(2, \frac{2}{e ^{2}})

Solution steps

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

Find intervals:

Concave Downward

: - \infty < x < 2,

Concave Upward

: 2 < x < \infty

Plug

x = 2

into

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

(2, \frac{2}{e ^{2}})

Popular Examples

periodicity of cos(2)(x-pi/2)periodicity

cos (2) (x - \frac{π}{2})

inverse of f(x)=((x))/((sqrt(4-x^2)))inverse

f (x) = \frac{( x )}{( 4 - x ^{2} )}

critical x^3-3x+3 critical points

x^{3} - 3 x + 3

domain of sqrt(2x-2)domain

2 x - 2

slope ofintercept 2x-y=8 slope intercept

2 x - y = 8

Frequently Asked Questions (FAQ)

What is the inflection f(x)=xe^{-x} ?
The inflection f(x)=xe^{-x} is (2, 2/(e^2))