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CalculusQ&A Library1. Let f(x) cos2(x) - 2 sin(x) for 027x(a) Compute f'(x) and use it to find intervals where f(x) is increasing or decreasing for x in[0, 2m(b) Find the local extrema of f(x) for x in [0, 27]. Explain(c) Compute f"(x) and use it to find the intervals of concavity and inflection points of f(x)for in [0, 27Question

Asked Nov 18, 2019

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Step 1

First compute f'(x) using first derivative.

Step 2

Then find critical points using f'(x)=0.

Critical points are= pi/2 and 3pi/2

Step 3

Check sign of f\'(x) in each intervals.

f\'(pi/4) = negative

f\'(pi)=positive

f\'(7pi/4)= negative

So, in (0,pi/2) and (3pi/2 , 2pi) the function is decreasing. [because f\...

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