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Popular Calculus >

f(x)=(xe^x)/(x+e^x)

Solution

f (x) = \frac{x e ^{x}}{x + e ^{x}}

Solution

Domain : x < - W_{0} (1) or x > - W_{0} (1)

Range : - \infty < f (x) < \infty

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = - W_{0} (1), Horizontal y = 0, Slant y = x

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - W_{0} (1)) \cup (- W_{0} (1), \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x e ^{x}}{x + e ^{x}} : x < - W_{0} (1) or x > - W_{0} (1)

Range of

\frac{x e ^{x}}{x + e ^{x}} : - \infty < f (x) < \infty

Axis interception points of

\frac{x e ^{x}}{x + e ^{x}} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x e ^{x}}{x + e ^{x}} :

Vertical

: x = - W_{0} (1),

Horizontal

: y = 0,

Slant

: y = x

Extreme Points of

\frac{x e ^{x}}{x + e ^{x}} :

None

Graph

Popular Examples

integral of 4/((x+2)(x-2))

\int \frac{4}{( x + 2 ) ( x - 2 )} d x

integral from 0 to 1 of (x-1)/(x^2+3x+2)

\int_{0}^{1} \frac{x - 1}{x ^{2} + 3 x + 2} d x

tangent of f(x)=(e^x)/x ,\at x=1

t an g e n t f (x) = \frac{e ^{x}}{x}, at x = 1

derivative of sqrt((3x+2/(5-4x)))

\frac{d}{d x} (\frac{3 x + 2}{5 - 4 x})

(\partial)/(\partial x)(1/(ln(y/x)))

\frac{\partial}{\partial x} (\frac{1}{ln ( \frac{y}{x} )})

Frequently Asked Questions (FAQ)

What is the f(x)=(xe^x)/(x+e^x) ?
The f(x)=(xe^x)/(x+e^x) is