Question: A student forgot the Product Rule for differentiation and made the mistake of thinking that (fg) = fg. However, he was lucky and got the

A student forgot the Product Rule for differentiation and made the mistake of thinking that (fg)’ = f’g’. However, he was lucky and got the correct answer. The function f that he used was f (x) = ex2 and the domain of his problem was the interval (½, ∞). What was the function g?

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