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

This is problem 2(a) from my midterm review sheet, found here: http://www.math.washington.edu/~sullivan/326smt_sp10.pdf

2. Relevant equations

Not sure what exactly I need here

3. The attempt at a solution

By the quotient rule, ∂f/∂x = [(x^{2}+y^{2})(y^{2})-(xy^{2})(2x)]/[x^{2}+y^{2}]^{2}. Obviously I can't just plug in (0,0). I thought about computing lim_{(x,y)-->(0,0)}f(x,y), but the limit does exist, and doing that seems to be saved for part (b). Is there some theorem I should use to compute ∂f/∂x|_{(0,0)}?

Thank you for for help.

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# Homework Help: Computing ∂f/∂x (0,0)

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