Talk:Chain Rule for Real-Valued Functions

I know I suggested "real-valued function" for a function from $\R^n$ to $\R$ but such a definition does not only encompass such functions. A "real-valued function" (go check it) is a function from any set to the real number line. My suggestion was for describing such a function in the body of the text for providing a link. In the context of a page title I think something more specific is called for. --prime mover 01:09, 3 April 2012 (EDT)
 * Maybe 'Euclidean mapping' or 'Euclidean function'? --Lord_Farin 02:54, 3 April 2012 (EDT)
 * Specifically it's from a vector - would that cover it? --prime mover 07:49, 3 April 2012 (EDT)
 * I would suggest Larson's "Real-Valued Function of Several Variables", except you don't like the connotation of a vector being several things. So I won't. --GFauxPas 08:36, 3 April 2012 (EDT)
 * Sorry, but can you cite where I gave that disapproval?
 * I think what I'm not keen on is putting this result up onto the domain of vectors specifically. The partial differentiation definition page just took an ordered tuple of arguments. Clearly, having established the result for the ordered tuple, you can then apply it to when the ordered tuple defines a vactor - but to specifically apply this result to a vector to start with might be limiting. And as I've said before, I have reservations about Larson. --prime mover 09:22, 3 April 2012 (EDT)
 * "In particular "function of several variables" is more a description than a definition. It's clear from the notation that the domain is $\R^n$. Anyway, thinking of the elements of $\R^n$ as separate entities makes you lose track of the fact that an ordered tuple or vector is an entity in its own right. --prime mover 01:19, 2 April 2012 (EDT)"
 * I don't have any inclination for or against Larson - that's just the book I have. You can do whatever you need to do to this page for you to feel content about it. --GFauxPas 09:30, 3 April 2012 (EDT)