Consider the equation below. (Give your answers correct to two decimal places.)
f(x) = 6(cos(x))2 - 12sin(x)
(a) Find the interval on which f is increasing
(b) Find the local minimum and maximum values of f.
(c) Find the inflection points. (Order your answers from smallest to largest x-value.)
(d) Find the interval on which f is concave up.
(f) Find the intervals on which f is concave down. (Enter the intervals that contain smaller numbers first.)