Question: Consider the function f(x) = xex2 2 dened on the interval [1 2 ; 2]: Does f(x) attain its absolute maximum and absolute minimum values?

Consider the function f(x) = xex2

2 dened on the interval [1

2 ; 2]: Does f(x) attain

its absolute maximum and absolute minimum values? Answer \YES" or \NO" and justify

your answer. Find the absolute maximum and absolute minimum values of f(x) if they exist.

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