Consider the following. 1/x + 1/y = 4 (a) Find y' by implicit differentiation. y' = -y^2/x^2 (b) Solve the equation explicitly for y and differentiate to get y' in terms of x. y' = (c) Check that your solutions to part (a) and (b) are consistent by substituting the expression for y into your solution for part (a). y' =
