# What is the derivative of #arctan(x-1)#?

##### 1 Answer

Mar 18, 2016

#### Explanation:

We must first know the derivative of

#d/dxarctan(x)=1/(1+x^2)#

According to the **chain rule**, we see that

#d/dxarctan(f(x))=1/(1+(f(x))^2)*f'(x)#

So, for

#d/dxarctan(x-1)=1/(1+(x-1)^2)*1#

#=1/(1+(x^2-2x+1)#

#=1/(x^2-2x+2)#