Question

3 (cos^2x) − (6 sin x)

(a) Find the interval on which f is increasing. (Enter your answer in interval notation
Find the interval on which f is decreasing. (Enter your answer in interval notation.)
(b) Find the local minimum and maximum values of f.
local minimum:
local maximum:
(c) Find the inflection points.
(x, y) = ______________(smaller x-value)
(x, y) = ______________(larger x-value)
Find the interval on which f is concave up. (Enter your answer in interval notation.)
Find the interval on which f is concave down. (Enter your answer in interval notation.)