6. Consider the following system of two equations, which implicitly defines a pair of differentiable functions: x = f(z) and y = 9(2). 0 x2+xyz+y21=0 o x2+y2zz+3=0 a. Verify that (Xe, Va, 20) = (0, 1, 2) is a solution to this system. b. Find the total differentials of both equations at the point (X0, yo, :0) = (O, 1, 2). c. Use your answer to (b) to calculate f'(2) and g'(2)