A student forgot the Product Rule for differentiation and made the mistake of thinking that (fg)' =
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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 (1/2, ∞). What was the function g?
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