How do I use implicit differentiation to find dy/dx of Tan (x-y) = y/(1+x^2)

Question

How do I solve by implicit differentiation tan (x-y) = y/(1+x^2)?

Answer 1

Tan ( x - y ) = y / ( 1 + x ²)

Differentiate both sides with respect to x.

Apply the quotient property d /dx (u / v) =( v u ' - u v ' ) / v ²