作者cotton757 (cotton757)
看板Math
標題[分析] tangent plane
時間Tue Jun 9 16:03:23 2009
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Define f(x,y) = sin(y^2 / x) * √x^2 + y^2 if x≠0
0 if x = 0
(1) Show that the function is continuous at the point (0,0) and has
directional derivatives in every direction at (0,0)
(2) Show that there is no plane that is tangent to the graph of f at the point
( 0,0,f(0,0) )
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