Talk:General Leibniz rule

General Leibniz rule vs Product rule article

Most of the information in this article is also present in Product rule#Generalizations. Should this article be merged into that section? - Lejoon (talk) 13:12, 1 May 2019 (UTC)[reply]

@Lejoon: I would say probably not. This article is at least somewhat more in-depth, such as giving a proof for at least the basic version. That's worth keeping, but would probably just tend to clutter up the main article. –Deacon Vorbis (carbon • videos) 13:26, 1 May 2019 (UTC)[reply]

only integer ?

It should be made precise where n (or j etc) is assumed to be integer and where this is not required. As Leibniz wrote already in the 1680's (if I recall well, in correspondence with l'Hôpital), the general formula is also valid (modulo some conditions on convergence) for fractional derivatives. - — MFH:Talk 14:32, 6 December 2024 (UTC)[reply]

I think it's clear in context that only integers are meant here. If you want to add some (sourced) info about fractional derivatives, it could go in a separate section, but it should be clear exactly what type(s) are being used, what conditions are being assumed, etc. 35.139.154.158 (talk) 15:39, 6 December 2024 (UTC)[reply]

Derivation of binomial theorem

You can derive the binomial theorem from this by setting $f(x)=e^{ax}$ and $g(x)=e^{bx}$ , and I'm sure this is a well-known fact that I've seen plenty of times before, but I'm struggling to actually find a ref. If anyone else can, I think it would be worth adding to the article. 35.139.154.158 (talk) 15:35, 6 December 2024 (UTC)[reply]

Found one, and added, but it's a little awkward sitting by itself. 35.139.154.158 (talk) 17:46, 6 December 2024 (UTC)[reply]