Homework Statement
Suppose the function f:R^2→R has 1st order partial derivatives and that
δf(x,y)/δx = δf(x,y)/δy = 0 for all (x,y) in R^2.
Prove that f is constant; there exists c such that f(x,y) = c for all (x,y) in R.
There's a hint as well:
First show that the restriction of...