2. (20p) Suppose that f(x, y) is a twice-differentiable function satisfying f(1,2) fy(1, 2) = -4, fwe(1, 2) = 7, fay(1, 2) = fy(1, 2) = -1 and fyy (1, 2) twice-differentiable function such that g(1) = 2 and f(t, g(t)) = 3 for all t. Find g"(1). = 3, fr(1,2) = 5, = -2. Assume that g(t) is a