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