Undergraduate

Suppose that f : R 3 R is C 2 and that x 0 is a critical point for f . Suppose that D 2

Suppose that f : R3 R is C2 and that x 0 is a critical point for f . Suppose that
D2f (x 0)(h)= h2
1+ h2
2+ h2
3+4h2h3. Does f have a local maximum, minimum, or saddle
at x 0?

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