Let f : R3 - R given by f(x) = 2x] - 2142 + 3x213 - 13, where r = (21, 12, 13). 1. Compute the gradient and Hessian of the function f(x) at the point a = (1, -1,0), i.e., Df(1, -1,0) and D2 f (1, -1, 0). 2. Show that f(x) = f(a) + Df(a)(x - a) + 5(x -0) Dif(a)(x -0) where T1 T= T3. 3. Find all critical points for the function and examine if each critical point is a local minimum point, a local maximum points or not an extremum