The Function H(x, Y) = $x ^ { 4 }$ - 9

The function H(x, y) = $x ^ { 4 }$ - 9 $y ^ { 2 }$ - 2 $x ^ { 2 }$ y + 20y + 4 has

A) neither a relative maximum nor minimum at (1, 4)
B) a relative minimum at the point (0, 0)
C) a relative maximum at the point (-1, 1)
D) a relative maximum at the point (0, 1)
E) none of these

Correct Answer:

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