I need some help with this partial derivative. I can do it by rules, but when I try and do it out using the definition of the partial derivative, I run into problems.(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

Find the partial derivative of sqrt[x]y^2 - 4xy with respect to x

3. The attempt at a solution

Going through while holding a variable constant and using basic derivative rules, I was able to get:

(y^2) / 2sqrt[x] - 4y

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# Using the definition of the partial derivative

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