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Mathematics 8 Online
OpenStudy (anonymous):

Show that f(x,y) = x^2 has infinitely many critical points (as a function of two variables) and that the Second Derivative Test fails for all of them. What is the minimum value of f? Does f(x,y) have any local maxima?

OpenStudy (amistre64):

|dw:1354284375898:dw| notice that its just a parabolic cylindar that opens along the y axis

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