Implicit Differentiation of tan(x-y) and Solving for y' | Step-by-Step Guide"

[UsernameValid]

tan(x-y)=y/(1+x²)

When I take the derivatives of both sides, I get:
sec²(x-y)(1-y')=[(1+x²)y'-2xy]/(1+x²)²

 

[tiny-tim]

yup!