Name: (1) Use the first derivative test to find all the relative extrema of the following functions on the given interval. Then, find the absolute extrema of the given functions on the given interval. (a) f(x) = sin x + cos x on [0, 7/2]. [8pts] (b) f(x) = x3 - 5x2 + 6x on [0, 4]. [8pts] (c) f(x) = x3 - x on [-1,3). [8pts] (d) f(x) = 3x2/3 - 2x on [-1, 2]. [8pts]