Consider the function z = x¹y 21x6 +2187y. Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. 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)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Consider the function z = x'y
x¹y
21x6 +2187y. Find
and classify all critical points of the function. If there are
more blanks than critical points, leave the remaining
entries blank. The critical point with the smallest x-
coordinate is
0
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)
Transcribed Image Text:Consider the function z = x'y x¹y 21x6 +2187y. Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. The critical point with the smallest x- coordinate is 0 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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