most recent 30 from http://mathoverflow.net 2013-05-20T03:16:10Z http://mathoverflow.net/feeds/question/77467 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/77467/partial-differentiability-and-continuity Kofi 2011-10-07T16:57:40Z 2011-10-07T18:14:14Z

<p>If a function has, say, partial derivatives up to order $n$, can you conclude continuity of some or all derivatives of lower order?</p> <p>Especially, if a function has partial derivatives of any order is it automatically smooth?</p>