AlonBechor
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- Sep 8, 2019
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Let F(x,y) be a two variables function that is continuous in R^2 and differentiable in R^2/({0/0}.
Its partial derviatives(Fx(x,y),Fy(x,y)) at (0,0) both approach zero. I have to prove that the function is differentiable at (0,0).
Which direction should I go ? Should I try proving it using differentiability definition or somehow prove partial derivatives are continuous ?
Its partial derviatives(Fx(x,y),Fy(x,y)) at (0,0) both approach zero. I have to prove that the function is differentiable at (0,0).
Which direction should I go ? Should I try proving it using differentiability definition or somehow prove partial derivatives are continuous ?