# How do you find the derivative of # f(x)= x^2*tan^-1 x#?

##### 1 Answer

Aug 9, 2016

#### Explanation:

We have to use the product rule, which states that for a function

#f'(x)=d/dx(x^2)*tan^-1x+x^2*d/dx(tan^-1x)#

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

#f'(x)=2xtan^-1x+x^2/(1+x^2)#