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Let f(x,y)= xy (x^2 - Y^2)/(x^2 + Y^2) if x,y≠0 and f(0,0)=0 then show that fxy(0,0) = fyx(0,0)

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Let f(x,y)= xy (x^2 - Y^2)/(x^2 + Y^2) if x,y≠0 and f(0,0)=0 then show that fxy(0,0) = fyx(0,0)
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