Consider the curve given by the equation y 2 - 2x 2y = 3. a) Find dy/dx. b) Write an equation for the line tangent to the curve at the point (1, -1). c) Find the coordinates of all points on the curve at which the line tangent to the curve at that point is horizontal. d) Evaluate d^(2)y/ dx^2 at the point (1, -1).