I found a very elegant proof of a very well known calculus level result. The result, I don't want to say which yet, has been definitely proven by other means. I researched all the proofs, in a few books and all google, never have I seen my result there. I asked a math professor about it, but he was only aware of one famous proof, I didn't tell him mine though. I don't want to sound like this is big, but it's just a small result that could fit on a page. The proof attacks the problem from a completely different angle. So what is typically done in a situation like this. Would it be a good idea to write a calculus level paper? If so can you recommend a journal. All journals I've seen are in differential topology and up. Appreciate any info.