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

Question

Quizplus · Accepted Answer

The function does not have a relative maximum or minimum at any of the given points based on the second derivative test.

The Function H(x, Y) = x4x ^ { 4 }x4 - 9

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