What is the monotone f(x)=x*e^{1/x} ?

The monotone f(x)=x*e^{1/x} is Increasing:-infinity <x<0,Decreasing:0<x<1,Increasing:1<x<infinity

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

monotone f(x)=x*e^{1/x}

monotone intervals

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

Increasing : - \infty < x < 0, Decreasing : 0 < x < 1, Increasing : 1 < x < \infty

Solution steps

Find the critical points:

x = 1

Domain of

x \cdot e^{\frac{1}{x}} : x < 0 or x > 0

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Increasing : - \infty < x < 0, Decreasing : 0 < x < 1, Increasing : 1 < x < \infty

f (x) = 2 - 5 x^{3}

\frac{1}{x - 1}

f (x) = - x - 3

\frac{- 4 x + 4}{5 x - 1}

f (x) = 4 x^{3} - 6 x^{2} + 8 x - 3

What is the monotone f(x)=x*e^{1/x} ?
The monotone f(x)=x*e^{1/x} is Increasing:-infinity <x<0,Decreasing:0<x<1,Increasing:1<x<infinity