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I wish I was in this class :/

am i thinking about this problem the right way?

I am meant to be able to work that bit out in my head?

its just the product rule in reverse but is kind hard to make that step

the wolfram step-by-step solution starts by assuming we can tell the factors in the product rule,
after we have worked out these , the problem is simple,
but i have trouble seeing the factors

In set-theory it's called a *complement* rather than a negation, which is typically used in logic.