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

Given y = xz^{5}and x = zg (where g is some constant) find :

(∂y / ∂x)_{z}

2. Relevant equations

3. The attempt at a solution

I understand the concept of a partial derivative, but I've never seen one such that there is a variable held fixed, or one where ∂x is not changing independently. This is a statistical mechanics problem. Any tips on how to do this?

My solution is basically treat z as a constant but that would be the same as taking the partial without holding z constant. I'm not sure what to do about x either. Just need an example of or instruction on how to do this.

Thanks.

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# Partial derivative with fixed variable

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