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

Show that the function is not differentiable at (0,0).

f(x,y) = [ (xy)/(x^{2}+ y^{2})^{(1/2)}if (x,y) =/ (0,0)

[ 0 if (x,y) = (0,0)

3. The attempt at a solution

I know that the partial derivatives at point (0,0) = 0, so I don't know why the function is not differentiable at (0,0). Is there a certain equation that will help me prove that?

Thanks

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

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Partial Derivative Homework

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