A curve is represented by the equation
4y^3 + xy - 5x + 4 = 0.
Part A: Determine dy/dx (10 points)
Part B: Evaluate dy/dx at the point (2, 1). (10 points)
Part C: Determine d^2y/dx^2 (10 points)
Part D: Evaluate d^2y/dx^2 at the point (2, 1). (10 points)