Let f .x; y/ D x3 ? y3 x2 ? y2 . Where is f .x; y/ continuou
Question and Solution
Let f .x; y/ D x3 ? y3 x2 ? y2 . Where is f .x; y/ continuous? To what additional set of points does f .x; y/ have a con
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Let f .x; y/ D x3 ? y3 x2 ? y2 . Where is f .x; y/ continuous? To what additional set of points does f .x; y/ have a continuous extension? In particular, can f be extended to be continuous at the origin? Can f be defined at the origin in such a way that its first partial derivatives exist there?
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