I have a basic question about taking partial derivatives.(adsbygoogle = window.adsbygoogle || []).push({});

Say I have a function of 3 variables and i want the derivative of only one. Do I take the derivative of the one variable and HOLD THE OTHER TWO CONSTANT? Or, do I take the derivative of the variable and TREAT THE OTHER TWO AS CONSTANTS?

For example

If I have f(x,y,z) = xy^{2}+z^{3}and I want to find f_{x}

Does that mean I get 2xy or 2xy+z^{3}?

Like does that z drop out or do I literally not touch it? This isn't a homework question. I'm just trying to understand what the rule is.

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# Partial Differentiation Question

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