en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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}

Popular Examples

inverse of f(x)=(2x+8)/(3x-6)inverse

f (x) = \frac{2 x + 8}{3 x - 6}

inverse of f(x)=-3/5 inverse

f (x) = - \frac{3}{5}

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

f (59) = x^{3} - 5

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

f (x) = \frac{4 x}{3}

inverse of arccos(e^x)inverse

arccos (e^{x})

Frequently Asked Questions (FAQ)

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