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- Thread starter Dvsdvs
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HallsofIvy

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What is the

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that the partial derivatives are continous in a neighborhood

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HallsofIvy

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Then I ask

A definition is

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hmmm. A function is differentiable at a point if and only if Fx and Fy are continous? i still dont know where to start the proof for the generic problem though.

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In part B of this question i proved that if Fx and Fy are continous then f(x,y) is differentiable becuase a tangent plane exists there and i used lim at (0,0) (h(x,y)-f(x,y))/sqroot(x^2+Y^2) goes to 0 to complete the proof that it is differentiable. I don't know why I can't go the other way.

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