Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 9 cos2(x) − 18 sin(x), 0 ≤ x ≤ 2? (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) Find the interval on which f is decreasing. (Enter your answer using interval notation.)
Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 9 cos2(x) − 18 sin(x), 0 ≤ x ≤ 2? (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) Find the interval on which f is decreasing. (Enter your answer using interval notation.)
Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 9 cos2(x) − 18 sin(x), 0 ≤ x ≤ 2? (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) Find the interval on which f is decreasing. (Enter your answer using interval notation.)
Consider the equation below. (If an answer does not exist, enter DNE.)
f(x) = 9 cos2(x) − 18 sin(x), 0 ≤ x ≤ 2?
(a) Find the interval on which f is increasing. (Enter your answer using interval notation.)
Find the interval on which f is decreasing. (Enter your answer using interval notation.)
(b) Find the local minimum and maximum values of f.
Formula Formula A function f ( x ) is also said to have attained a local minimum at x = a , if there exists a neighborhood ( a − δ , a + δ ) of a such that, f ( x ) > f ( a ) , ∀ x ∈ ( a − δ , a + δ ) , x ≠ a f ( x ) − f ( a ) > 0 , ∀ x ∈ ( a − δ , a + δ ) , x ≠ a In such a case f ( a ) is called the local minimum value of f ( x ) at x = a .
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