en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

inverse of arctan(e^{2x})

Solution

inverse

arctan (e^{2 x})

Solution

\frac{ln ( tan ( x ) )}{2}

Solution steps

arctan (a) = b \Rightarrow a = tan (b)

e^{2 x} = tan (y)

Solve for

x, e^{2 x} = tan (y)

\frac{ln ( tan ( y ) )}{2}

Substitute

y = x

\frac{ln ( tan ( x ) )}{2}

Graph

Popular Examples

inverse of f(59)=x^3-5

inverse of f(x)=sqrt((4x)/3)

inverse of f(x)= 1/4*10^{x-3}+5

inverse of f(x)=(-2x-1)/(x-2)

inverse of f(x)=sqrt(e^{9sin(x))}

Frequently Asked Questions (FAQ)

What is the inverse of arctan(e^{2x}) ?
The inverse of arctan(e^{2x}) is (ln(tan(x)))/2