f(x, y) = e Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fx = fy= fxx = fay= fyy= The critical point with the smallest x-coordinate is ) Classification: determined) The critical point with the next smallest x-coordinate is Classification: determined) The critical point with the next smallest x-coordinate is ( determined) -10x-x²-6y-y² Classification: (local minimum, local maximum, saddle point, cannot be |(local minimum, local maximum, saddle point, cannot be (local minimum, local maximum, saddle point, cannot be

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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f(x, y) = e
Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank.
fx =
fy=
fxx
fxy
fyy
||
||
=
The critical point with the smallest x-coordinate is
9
) Classification:
determined)
The critical point with the next smallest x-coordinate is
(
determined)
) Classification: |
determined)
The critical point with the next smallest x-coordinate is
-10x-x²-6y-y²
) Classification:
(local minimum, local maximum, saddle point, cannot be
◆ (local minimum, local maximum, saddle point, cannot be
(local minimum, local maximum, saddle point, cannot be
Transcribed Image Text:f(x, y) = e Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fx = fy= fxx fxy fyy || || = The critical point with the smallest x-coordinate is 9 ) Classification: determined) The critical point with the next smallest x-coordinate is ( determined) ) Classification: | determined) The critical point with the next smallest x-coordinate is -10x-x²-6y-y² ) Classification: (local minimum, local maximum, saddle point, cannot be ◆ (local minimum, local maximum, saddle point, cannot be (local minimum, local maximum, saddle point, cannot be
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