Question

If you find the domain of a derivative, do you also need to take into account the domain of the original function?

Answer 1

For example, if the domain of the original function was x can't be 6, and the domain of the final derivative was that x can't be 3, would you say that the derivative doesn't exist at x=3 AND x=6 since at x=6 there was a hole in the original function?

Answer 2

hmm.. it depends on what the question is asking. if it asks for the domain of the derivative, then i'd say x cannot equal 3