(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant 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)

3. The attempt at a solution

I'm guessing that it involves the mean value theorem but I'm not entirely sure :S

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: If Partial derivatives exist and are continuos then function is differentiable

**Physics Forums | Science Articles, Homework Help, Discussion**