I understand from the equation:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] df = {\frac{\partial f}{\partial x}} dx + {\frac{\partial f}{\partial y}} dy [/tex]

that: [itex] dx \neq \partial x [/itex].

I understand why [itex] df \neq \partial f [/itex]

([itex]df[/itex] is the change in f when the change in all the variables is infinitesimal, and [itex] \partial f [/itex] is the change in f when the change in one vriable is infinitesimal and the others are constant, right?).

but doesn't both [itex] dx [/itex] and [itex] \partial x [/itex] mean an infinitesimal change in x? if so, why aren't they equal? if not what do they mean?

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# What's the difference between dx and ∂x?

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