Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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fy =
fxx
fxy
fyy
The critical point with the smalles local minimum
) Clas
himum, local maximu
local maximum
The critical point with the next sm
saddle point
) Clas
imum, local maximu
cannot be determined
The critical point with the next smaiest x-cooranate is
) Classification:
(local minimum, local maximu
expand button
Transcribed Image Text:fy = fxx fxy fyy The critical point with the smalles local minimum ) Clas himum, local maximu local maximum The critical point with the next sm saddle point ) Clas imum, local maximu cannot be determined The critical point with the next smaiest x-cooranate is ) Classification: (local minimum, local maximu
f(x, y) = e-7x
cos(ly).
Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank.
fx =
fy =
fex =
fry =
fyy
The critical point with the smallest x-coordinate is
) Classification:
(local minimum, local maximum, saddle point, cannot be determined)
The critical point with the next smallest x-coordinate is
) Classification:
(local minimum, local maximum, saddle point, cannot be determined)
The critical point with the next smallest x-coordinate is
Classification:
(local minimum, local maximum, saddle point, cannot be determined)
expand button
Transcribed Image Text:f(x, y) = e-7x cos(ly). Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fx = fy = fex = fry = fyy The critical point with the smallest x-coordinate is ) Classification: (local minimum, local maximum, saddle point, cannot be determined) The critical point with the next smallest x-coordinate is ) Classification: (local minimum, local maximum, saddle point, cannot be determined) The critical point with the next smallest x-coordinate is Classification: (local minimum, local maximum, saddle point, cannot be determined)
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