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# Function on a Closed Interval : Local Maxima and Minima

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Consider the following function f(x)=2sinx-cos2x on the closed interval [0,2pi].

Task: Find all relative (local) and absolute maxima and minima for the function listed above.

https://brainmass.com/math/optimization/function-closed-interval-local-maxima-minima-29915

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Locate all relative (local) and absolute maxima and minima for the function f(x)=2sinx-cos2x on the closed interval [0,2pi]

Solution. Since f(x)=2sinx-cos2x, we have

So, let , we ...

#### Solution Summary

Local maxima and minima are found for a function on a closed interval in the following solution. The solution has been constructed in a step-wise manner and is provided within a Word document which is attached.

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