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Location of local extremum and the max and min values

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The Problem is attached
Determine the location of each of the local extremum and the maximum and minimum values of y=f(x). Sketch the graph and label the critical points and the maximum and minimum values

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Solution Summary

The expert determines of the location of local extremum and the max ans min values are given.

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To find the local extremum, we set the first derivative equal to zero.

or a = 3, b = 8, c ...

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