Take the derivative of everything like you normally would. The only difference with implicit differentiatio is, when you take the derivative with a term containing y, you must multiply by y'.
For example, the first part of part 1: Dx(-(2x^2)-(4xy)) = -(4x) - 4[y+xy']
Take note that I used the product rule for 4xy. 4 is a constant, so take it out. Now you are left with a product of two functions, x and y.