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Consider the equation below. f(x) = 6 cos2(x) − 12 sin(x),      0 ≤ x ≤ 2π (a)...

Consider the equation below.

f(x) = 6 cos2(x) − 12 sin(x),      0 ≤ x ≤ 2π

(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.)

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