Question

A curve is represented by the equation 2y3 + xy − 6x + 3 = 0.

Part A: Determine dy over dx (10 points)

Part B: Evaluate dy over dx at the point (1, 1). (10 points)

Part C: Determine d squared y over d x squared (10 points)

Part D: Evaluate d squared y over d x squared at the point (1, 1).