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

Find the partial derivatives (1st order) of this function:

[itex] ln((\sqrt{(x^2+y^2} - x)/(\sqrt{x^2+y^2} + x)) [/itex]

2. Relevant equations

3. The attempt at a solution

I obviously separated the logarithm quotient into a subtraction, then applied the rule d ln(u) = 1/u. However, what I end up with is four terms with a bunch of x²+y² and [itex]\sqrt{x²+y²} [/itex] . I'm just starting out with partial derivatives so is there any obvious trick that I'm not familiar with in this type of situation?

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# Partial derivatives of a function

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