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Popular >

f(x)=arctan(e^x)

Solution

f (x) = arctan (e^{x})

Solution

Domain : - \infty < x < \infty

Range : 0 < f (x) < \frac{π}{2}

Y Intercepts : (0, \frac{π}{4})

Asymptotes : Horizontal y = \frac{π}{2}, y = 0

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (0, \frac{π}{2})

Solution steps

Domain of

arctan (e^{x}) : - \infty < x < \infty

Range of

arctan (e^{x}) : 0 < f (x) < \frac{π}{2}

Axis interception points of

arctan (e^{x}) :

Y Intercepts

: (0, \frac{π}{4})

Asymptotes of

arctan (e^{x}) :

Horizontal

: y = \frac{π}{2}, y = 0

Popular Examples

x^{^{''}} + x^{^{'}} + x = 0

t y^{^{'}} - 2 y = 2 t^{4}

derivative of (x-7/(-5x-10))

\frac{d}{d x} (\frac{x - 7}{- 5 x - 10})

(\partial)/(\partial x)(xy+yz^2+xz^3)

\frac{\partial}{\partial x} (x y + y z^{2} + x z^{3})

(\partial)/(\partial x)((x+z)e^{x-y})

\frac{\partial}{\partial x} ((x + z) e^{x - y})

Frequently Asked Questions (FAQ)

What is the f(x)=arctan(e^x) ?
The f(x)=arctan(e^x) is