Parials and Derivatives

1. Feb 11, 2009

Diffy

Is it possible to have a function that has bounded paritial derivatives, but is not differential? Can you give me an example? And if possible explain how this is possible?

I am having trouble understanding this calculus concept. Thanks.

2. Feb 12, 2009

CompuChip

I assume that you meant "differentiable" instead of "differential"?

For all x, $$|f'(x)| \le 1$$