Consider the equation below.
f(x) = 3 cos^2x − 6 sin x, 0 ≤ x ≤ 2π
(a) Find the interval on which f is increasing. (Enter your answer in interval notation.)
b)Find the interval on which f is decreasing. (Enter your answer in interval notation.)
c)(b) Find the local minimum and maximum values of f.
d)(c) Find the inflection points.
e)Find the interval on which f is concave up. (Enter your answer in interval notation.)
f)Find the interval on which f is concave down. (Enter your answer in interval notation.)
Please help me work this out!

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\[f(x)=3\cos^2(x)-6\sin(x)\] right?

yes

did you take the derivative as a first step?

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