The total number of relative maximum and minimum points of the function whose derivative is f ' (x) = x2(x + 1)3(x – 4)3 is (a) 0 (b) 1 (c) 2 (d) 3 (e) 4 12. find all absolute and relative

(D) 3

Step-by-step explanation:

A function f(x) has a relative minimum and maximum when its derivative f'(x) is equal to zero. Given f'(x) = x^2*(x + 1)^3*(x – 4)^3, f'(x) = 0 at x = 0, x = -1 and x = 4. Therefore, the total number of relative maximum and minimum points of f(x) is 3.