x^2 +y^4 +2xy = 1
(a) [6 marks] Use implicit differentiation to determine dy/dx at the point (x, y) = (1,0).
(b) [6 marks]Use implicit differentiation to determine (d^2)y/dx^2 at the point (x, y) = (1,0).
(c) [3 marks]Determine the degree 2 Taylor polynomial of y(x) at the point (x, y) = (1,0).