Question: If x (a, b) = 0, y (a, b) = 0, xx (a, b) = 0, yy (a, b) = 0,

If ƒx(a, b) = 0, ƒy(a, b) = 0, ƒxx(a, b) = 0, ƒyy(a, b) = 0, and ƒxy(a, b) ≠ 0, then ƒ has a saddle point at (a, b).

Determine whether each of the following statements is true or false, and explain why.

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