Where does the "Total differential: dz= fx dx + fy dy" come from?
I'm under the impression that it is from the taylor series... with the intuition that we would need lesser and lesser number of terms in the series to achieve a certain degree of accuracy as the values for the "change in variables (delta x, delta y)" become smaller and smaller, thus If the change in variables were infinitely small..then the series would boil down to just the first terms...
am I right? or is the total differential just defined that way?

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