Sunday, 16 November 2014

multivariable calculus - Partial Derivative and Differentiability

I need help for the following question.



Do the partial derivatives of the function f(x,y)=min(|x|,|y|) exist and what are they?



Also, I don't think the function is differentiable at (0,0) but how should I prove this from definition?



Many thanks!

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