en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=4+xe^{-1/(2x)}

Solution

f (x) = 4 + x e^{- \frac{1}{2 x}}

Solution

Domain : x < 0 or x > 0

X Intercepts : (\frac{1}{2 W _{- 1} ( - \frac{1}{8} )}, 0), (\frac{1}{2 W _{0} ( - \frac{1}{8} )}, 0)

Asymptotes : None

Extreme Points : Maximum (- \frac{1}{2}, 4 - \frac{e}{2})

+1

Interval Notation

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

Solution steps

Domain of

4 + x e^{- \frac{1}{2 x}} : x < 0 or x > 0

Axis interception points of

4 + x e^{- \frac{1}{2 x}} :

X Intercepts

: (\frac{1}{2 W _{- 1} ( - \frac{1}{8} )}, 0), (\frac{1}{2 W _{0} ( - \frac{1}{8} )}, 0)

Asymptotes of

4 + x e^{- \frac{1}{2 x}} :

None

Extreme Points of

4 + x e^{- \frac{1}{2 x}} :

Maximum

(- \frac{1}{2}, 4 - \frac{e}{2})

Popular Examples

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

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

f(x)=-x^3+37x^2+18x-60

f (x) = - x^{3} + 37 x^{2} + 18 x - 60

y = 2 x^{2} - 16 x + 30

h(x)=x^3-2x^2-5x+6

h (x) = x^{3} - 2 x^{2} - 5 x + 6

y = 2 x^{2} - 3 x + 2

Frequently Asked Questions (FAQ)

What is the f(x)=4+xe^{-1/(2x)} ?
The f(x)=4+xe^{-1/(2x)} is