# How do you differentiate #arctan(e^x)#?

##### 1 Answer

May 28, 2016

#### Explanation:

The derivative of

#d/dx(arctan(x))=1/(1+x^2)#

So, in order to differentiate

#d/dx(arctan(u))=1/(1+u^2)*(du)/dx#

For

#d/dx(arctan(e^x))=1/(1+(e^x)^2)*d/dx(e^x)=e^x/(1+e^(2x))#