In each of the following we find the maximum and the minimum of the given function f(x) on the interval [a,b). As a first step for each, find the derivative f(x) and determine all the critical points. a) Find the maximum and minimum of the function f(x) on the interval [-3, 6), where f(x) is given by the following f(x) = x4 8 x3 - 16 x2 + 4 %3D f(x) = x^4 - (8/3) x^3 - 16 x^2+ 4 b) Find the maximum and minimum of the function f(x) on the interval [2,10], where f(x) is given by the following 2 f(x) x2 +1 QUESTION 13 Mean Value Theorem a. Apply to function f(x) given below on the interval [0, 4]. verify conditions; state conclusion f(x) = (x+1)2 (x-5) { f(x) = (x+1)^2 (x - 5) b. Solve for all values of c in (0,4) satisfying conclusions as stated by theorem. QUESTION 14 10 points Save Ans regions increasing and decreasing In this problem we find the regions on which the function f(x) is increasing and the intervals where it is decreasing. Consider the following function f(x) f(x) = x2 9- x? domain - 3sx