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I taught myself derivatives over the summer using spivak's calculus 3rd edition, but i was wondering what math am i going to need to know besides derivatives? So that i may get a head start learning it. So far i know all the rules for derivatives (finding the derivative of a polynomial, chain rule, addition rule, constant rule, etc.) what else do i need to know besides that?

I haven't learned how to integrate yet, should i start? I love math, i was in honors algebra-honors precalc, but i was one of those kids that opted to take ap stats senior year. (senioritis)

fyi: our school generally requires calc 1 as a pre-rec not a co-rec, but i had a perfect score on my math placement test so, after some pleading with my advisor, he let me take it.

(i posted this on the math forum also, sorry i didn't see this section first.)