(a) Let f(ac) = 2x2 24 4 1 Find f'(x) and find the maximum value of f on [0, co) (b) Find possible extreme points for g(x) = x3 Inx, for x E (0, co) Question 11. (7 marks) Consider the function f defined for all x given by f(x) = e-1-x.Show that f is convex and find its minimum point