Find the points at which the function  f given by  f (x) = (x – 2)4 (x + 1)3 has
(i) local maxima
(ii) local minima
(iii) point of inflexion
11 Find the absolute maximum and minimum values of the function f given by
f (x) = cos2 x + sin x, x ∈ [0, π]
12 Show that the altitude of the right circular cone of maximum volume that can be
inscribed in a sphere of radius r is 4
3
r 13