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

You are given the first degree partials of a function. You must prove the function does not exist

2. Relevant equations

General question

3. The attempt at a solution

I tried to integrate with respect to the variable for the partial derivaties, then equating them together as 3f(x) = g(x) + 3C but that gets me nowhere. Showing the partials are not continuous doesnt really help.

Nevermind I got it. I integrated the partials with respect to each of their variables, the derived with respect to a fixed variable. Then I showed the contradiction by comparing the constant terms and showing extra variables exist.

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# Given partials of a function, show the function does not exist

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