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## Homework Statement

This isn't a standard homework problem. We were asked to do research and to find a theorem of the form:

If something about the partial derivatives of u and v is true then the implication is ##D(u,v)## at ##(x_0,y_0)## exists from ##R^2## to ##R^2##

## Homework Equations

## The Attempt at a Solution

I've done a lot of reading on the the difference in differentiability between ##R^2## and ##\mathbb{C}## but haven't been lucky enough to stumble upon an exact theorem. Anyway, a push in the right direction would save me a lot of time.

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