Clairaut's theorem on equality of mixed partials
Revision as of 00:24, 13 February 2012 by Vipul (Created page with "==Statement== Suppose <math>f</math> is a real-valued function of two variables <math>x,y</math> and <math>f(x,y)</math> is defined on an open subset <math>U</math> of <math>...")
Suppose is a real-valued function of two variables and is defined on an open subset of . Suppose further that both the second-order mixed partial derivatives and exist and are continuous on . Then, we have:
on all of .