Question

SOS HELP WITH DERIVATIVE PROBLEM! please help !, show process.. Thanks so much! Let f(x)= x((x^2 minus 1)^2)^1/3, negative 1.4 minus or equal to x and greater or equal to 1.4

(a) find the approximate position of
(i) each zero;
(ii) each maximum point;
(iii) each minimum point.


(b) (i) Find f′ (x), and its domain.
(ii) Find the x-coordinates of the maximum and minimum points of f (x), for
negative1 < x < 1.


(c) Find the x coordinate of the point of inflexion of f (x), where x > 0, giving your answer
correct to four decimal places.