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Taylor Expansions and the Second Derivative Test
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日期：2026-04-22
TAYLOR’S THEOREM 5 @f @x = 2x+ 4y = 0 @f @y = 2y + 4x = 0 which implies x = 2y = 4x, that is, x = y = 0. The matrix of second partial derivatives is 2 4 4 2 so = 4 16 = 12 < 0. So the point is a saddle! Pay attention to this example. It is surprising, ......看更多
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