Please solve 4 number question

4. Consider the continuous and differentiable functions f(x) and g(r) such that f(x) = g(x2) and: g(0) =-3 g(3) =-5 g(6) =0 g(9) =5 g'(0) =2 8'(3) =4 8'(6) =4 g'(9)=0 g" (0) =-4 g"(3) =1 g" (6) =-1 g"(9) =2 (a) Show that x = 0 and r = 3 are critical values of f(x). (b) Use the second derivative test to determine whether f (x) has a local maximum or local minimum at each of these critical value