1. Determine the first derivative of y = f(x); if it doesn't exist, explain why that is so. 1.1 f(x) = logA(Az), z = x2 + 2x + 9, A > 0, A # 1, and x 2 0 1.2 f(x) = 4z, z = In(5x4 + 6), x ER 1.3 f(x)=In((x3 + 2x2 + 5x - 4)/(x2 + 7x - 3)), x21 1.4 xy2 + 2xy + 4 = 0, x and y & R 1.5 f(x) = In(In(x3+ 2x2 + 6x + 3)), x> 0 Group 2: Determine the relative and/or absolute extrema; do 2 problems from this group; each problem in its entirety is worth 5 points 2. Piece-wise function: f(x) = x2 + 1, [1,2) f(x) = x + 1, (-1,1] f(x) = -(2/3) (x + 1), [-17/2,-1] f(2) = 6 3. 3.1 f(x) = (x6 - 3x2 + 5)/ (x4 + 7 ), x> 0 3.2 f(x) = (x5 - 3x3+ 5)/(x3 + 4), [0, 1.425]