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

##### 1 Answer

Jul 31, 2015

The derivative is:

#### Explanation:

So

And

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

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

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

**Faster Method?**

Use the fact that

and

to go straight to the answer.