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A students forgot the product rule for d...

A students forgot the product rule for differentiation and made the mistake of thinking that `(f.g)'=f'g'.` However he was lucky to get the correct answer. The function f that he used was `f(x) =e^(x^(2` If the domain of g(x) was the interval `(1/2,oo)`with g(1)=e. Find the value of g(5).

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