Hello PurpleMath people!

Here's the question I once again need help with:

If y = [1+tan^(-1)x]^2

prove that:

(1+x^2)^2*(d2y/dx2)+2x(1+x^2)(dy/dx)= 2

Obtain equation relating (d3y/dx3), (d2y/dx2) and (dy/dx)

Thank you pros for helping!