- #1
rshalloo
- 52
- 0
Homework Statement
Hi I'm just looking for a link to the proof of this theorem:
if the partial derivatives of function f exist and are continuous at a point then the function is differentiable there
Or even the name would be helpful
Its not a homework assignment per say, just something that our lecturer said mentioned in passing but never gave a proof of and I would like it just for the sake of completeness :P
Homework Equations
Well I think the Newton quotient is [ f(a+h,b+k) -(h)f(a,b+k)-(k)f(a+h,b) ]/Sqrt[h^2+k^2]
(for 2 variables anyway)
The Attempt at a Solution
I'm guessing that it involves the mean value theorem but I'm not entirely sure :S