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Let f : R^2→ R be a function given by f(x, y) ={xy(x^2-y^2)/(x^2+y^2) if (x,y) is not equal to (0,0), {0 if (x,y) =(0,0

Posted: Mon May 09, 2022 11:17 am
by answerhappygod
Let f : R^2→ R be a function given by

f(x, y) ={xy(x^2-y^2)/(x^2+y^2) if (x,y) is not equal to (0,0),
{0 if (x,y) =(0,0).


Using definitions of partial derivatives, show whether f(x, y) is differentiable at

point (0, 0).