- #1
beamie564
- 144
- 64
Hi! Can someone give me an example of a function ##f(x,y)## for which the mixed partial differentials are not equal, i.e. $$\frac{\partial^2 f}{\partial x \partial y} \neq \frac{\partial^2f}{\partial y \partial x}$$
It says in Boas that these mixed differentials are equal only if the first and second order partial differentials of ##x## and ##y## are continuous. I couldn't come up with any. Thanks![Smile :smile: :smile:](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
It says in Boas that these mixed differentials are equal only if the first and second order partial differentials of ##x## and ##y## are continuous. I couldn't come up with any. Thanks