(1) Find the critical numbers of f on the given interval and use the first or 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) = 3x4 - 4x3 - 12x2 + 1 on [-2, 3) (b) f(x) = 3 +7 on [-4, 5] (c) f(x) = 1 + 22 on 0, 3 (d) f(x) = In(x2 +x+ 1) on [-1, 1] (e) x2 + 5 a