# What is the derivative of #y = 23 arctan(sqrt x)#?

##### 1 Answer

Dec 6, 2016

#### Explanation:

For this problem, you would use the chain rule. You can pull the 23 "out" to the front as it is a constant multiple. Your setup would look like

*Note: the derivative of #arctan(x)# is #1/(1+x^2)#. So, taking the derivative of #arctan(sqrt(x))# would look like #1/(sqrt(x)^2+1)#.*

You then apply the chain rule and multiply