Recent content by gamitor

The definition is in that link http://en.wikipedia.org/wiki/Derivative at the 4.4 section "The total derivative, the total differential and the Jacobian" The first at 4.4 that appears Thanks

I have the definition of differentiability in the pdf file. Thanks

Homework Statement Dear all, How can I show that the function f(x,y)=xy is differentiable? Thanks Dimitris Homework Equations The Attempt at a Solution

The definitions are in the following images. I tried to do it by the definitions or by the Boundary=Closure\Interior but I couldn't. Any help would be highly appreciated

Dear all, How can I show that: The boundary of a set S is equal to the intersection of the closure and the closure of the complement of S ? Thanks a lot in advance

Thanks a lot!

yes, exactly, but I cannot find anywhere the proof for single variable functions, do you know where it is?

Dear all, Does anybody knows any the proof for Inverse Function Theorem for single variable function or link where I can find that proof? Thank you in advance