Find dy / dx for given equation

Question

Find  for 4 - xy = y³. You must show your work to receive credit. 

Answer 1

4 - xy = y³

Use implicit differentiation. Start by taking the derivative of both sides, and then find y' as a function of x and y. You will need to apply the chain rule.

0 - [(1)y + xy'] = 3y²y'

-y - xy' = 3y²y'

y'(-x - 3y²) = y

y'(x,y) = -y / (3y² + x)