en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

inflection f(x)=(5-x)e^{-x}

Solution

inflection points

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

Solution

(7, - \frac{2}{e ^{7}})

Solution steps

f^{''} (x) = - e^{- x} (x - 7)

Find intervals:

Concave Upward

: - \infty < x < 7,

Concave Downward

: 7 < x < \infty

Plug

x = 7

into

(5 - x) e^{- x} : - \frac{2}{e ^{7}}

(7, - \frac{2}{e ^{7}})

Graph

Popular Examples

critical (e^x-e^{-x})/9 critical points

\frac{e ^{x} - e ^{- x}}{9}

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

f (x) = (x - 2)^{3}

range of (x+9)/x range

\frac{x + 9}{x}

domain of sqrt((7x+2x)/x)domain

\frac{7 x + 2 x}{x}

extreme f(x)=4+x+x^2-x^3 extreme points

f (x) = 4 + x + x^{2} - x^{3}

Frequently Asked Questions (FAQ)

What is the inflection f(x)=(5-x)e^{-x} ?
The inflection f(x)=(5-x)e^{-x} is (7,-2/(e^7))