(1) Find the critical numbers of f on the given interval and use the second derivative test to label each one as a local minimum, local maximum or neither. Then compute the absolute maximum and absolute minimum values of f on the given interval. (a) f(x) =324 - 4x3 - 12x2 + 1 on [-2, 3] (b) f(z) = 23 +7 on [-4, 5] (c) f(20 ) = 1+ 72 on . [0, 3 ] (d) f(x) = In(ac2 + x + 1) on [-1, 1] (e) - 202 + 5 0