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Popular >

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)

Popular Examples

integral of sec^3(3x)tan(3x)

\int sec^{3} (3 x) tan (3 x) d x

derivative of 9/(2x^2)

\frac{d}{d x} (\frac{9}{2 x ^{2}})

\frac{d y}{d x} = 20 - y

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

y^{^{'}} = \frac{( t ^{2} + t y + y ^{2} )}{t ^{2}}

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

h \to 0 lim (48 + 12 h + h^{2})

Frequently Asked Questions (FAQ)

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