Consider the equation of the Conchoid of Nicomedes x^2y^2 = (x + 1)^2(4 - x^2).
1. (HAND) Find a formula for dy/dx in terms of x, y using implicit differentiation.
2. (HAND) Select a particular point (x, y) of your choice on the Conchoid and write the equation of the tangent line to the Conchoid at that point.