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

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

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

Domain : x < 0 or x > 0

Range : f (x) < 0 or f (x) \geq 4

Intercepts : None

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Minimum (ln (2), 4)

Interval Notation

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

Range : (- \infty, 0) \cup [4, \infty)

Solution steps

Domain of

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

Range of

\frac{e ^{x}}{1 - e ^{- x}} : f (x) < 0 or f (x) \geq 4

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

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

Minimum

(ln (2), 4)

\int_{\frac{1}{2}}^{3} 4 x ln (2 x) d x

\frac{x ^{2} - 4}{x}

f (x) = 2 - x, at x = 1

\frac{\partial}{\partial x} (x^{2} \cdot sin (2 y))

2 e^{x} - 5 cos (x) + 3