Say I have a function [tex]g = g(x,y)[/tex]. Now, I have another function defined as:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]f(x,y) = \partial / \partial x [g(x,y)][/tex]. Is the following true:

[tex]f(a,b) = (\partial / \partial x [g(x,y)])_{x = a, y = b} = \partial / \partial a [g(a,b)][/tex]

a, b, x, y are all variables. Is this true in general for any function of any number of variables?

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