en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

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

Solution

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

Solution

Domain : x < 0 or x > 0

Range : f (x) < 0 or f (x) \geq e

Intercepts : None

Asymptotes : Vertical x = 0, Slant y = x + 1

Extreme Points : Minimum (1, e)

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Range : (- \infty, 0) \cup [e, \infty)

Solution steps

Domain of

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

Range of

x \cdot e^{\frac{1}{x}} : f (x) < 0 or f (x) \geq e

Axis interception points of

x \cdot e^{\frac{1}{x}} :

None

Asymptotes of

x \cdot e^{\frac{1}{x}} :

Vertical

: x = 0,

Slant

: y = x + 1

Extreme Points of

x \cdot e^{\frac{1}{x}} :

Minimum

(1, e)

Graph

Popular Examples

derivative of 9/(2x^2)

y^'=((t^2+ty+y^2))/(t^2)

limit as h approaches 0 of 48+12h+h^2

sum from n=1 to infinity of 6/((-5)^n)

y^{''}+256y=sec(16x),y(0)=-5,y^'(0)=-6

Frequently Asked Questions (FAQ)

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