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Calculate the locations of maximums and minimums of the following functions: Show work in details. f ( x ) = x 3 3 x +

Calculate the locations of maximums and minimums of the following functions: Show work in details.

f(x)=x33x+2

f(x)=x48x2+3

Find the exact x-value where the functionf(x)=x+ln(x21) attains a maximum value. An estimated answer or a calculator answer will not earn any credit.

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