1. Given f (x) = x(4 - x2)2 on the interval [-1, 2], show work for finding: a. derivative and simplify the derivate b. critical values c. absolute maximum value of the function d. absolute minimum value of the function 36 2. Given f (x) = x + -, show work for finding: x a. derivative and simplify derivative b. critical values c. intervals on which f is increasing or decreasing d. the maximum and minimum values of the function x2 3. Given f (x) = 4+x2 , show work for finding: a. derivative(s) b. interval on which the function is concave up c. interval on which the function is concave up d. point(s) of inflection