5. [45 Points] DETAILS LARCALCET? 4.6.092. Identify the real numbers x0, X1, x2, x3 and X4 in the figure such that each of the following is true. (Select all that apply.) .'I i (a) f'(X) = 0 3 x0 :l x1 3 x2 3 x3 3 X4 3 none of these (b) f'TX) = 0 3 x0 :I none of these ((3) f'[x) does not exist. 3X0 3X1 3X2 3X3 3X4 3 none of these O X 4 O none of these (b ) f" ( x ) = 0 Oxo O X 1 O X 2 O X 3 O X 4 O none of these (c) f'(x) does not exist. OXO O X 1 O X 2 O X 3 O X 4 O none of these (d) f has a relative maximum. Oxo O X 1 0 X 2 O X 3 O X 4 O none of these (e) f has a point of inflection. Oxo 10x 1 O X 2 O X 3 O X 4 O none of these