Which of the following tatements is true about a mooth function f at (a, b) it ² (a, b) c, fax (a, b) = 6, yy (a, b) = 12 and xy (a, b) = 0?
Which of the following tatements is true about a mooth function f at (a, b) it ² (a, b) c, fax (a, b) = 6, yy (a, b) = 12 and xy (a, b) = 0?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Which of the following
statements is true about a
smooth function fat (a, b) if
ƒ (a, b) = c, fxx (a, b) = 6,
fyy (a, b) = 12 and
fxy (a, b) = 0?
O No conclusion can be made
about the point (a, b, c).
Oc is relative minimum value
of f.
Oc is relative maximum value
of f.
(a, b, c) is a saddle point.
None of the given choices
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