Consider the function f(x, y) = (6x-x²)(2y-²). 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 = There are several critical points to be listed. List them lexicograhically, that is in ascending order by x-coordinates, and for equal x-coordinates in ascending coordinates (e.g., (1,1), (2, -1), (2, 3) is a correct order) 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: The critical point with the next smallest x-coordinate is ) Classification: ( The critical point with the next smallest x-coordinate is ) Classification: ( The critical point with the next smallest x-coordinate is ) Classification: Loon garn partial credit on this problem. (local minimum, local maximum, saddle point, cannot be determined) (local minimum, local maximum, saddle point, cannot be determined) (local minimum, local maximum, saddle point, cannot be determined) (local minimum, local maximum, saddle point, cannot be determined)

Consider the function f(x, y) = (6x-x²)(2y-²). 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 = There are several critical points to be listed. List them lexicograhically, that is in ascending order by x-coordinates, and for equal x-coordinates in ascending coordinates (e.g., (1,1), (2, -1), (2, 3) is a correct order) 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: The critical point with the next smallest x-coordinate is ) Classification: ( The critical point with the next smallest x-coordinate is ) Classification: ( The critical point with the next smallest x-coordinate is ) Classification: Loon garn partial credit on this problem. (local minimum, local maximum, saddle point, cannot be determined) (local minimum, local maximum, saddle point, cannot be determined) (local minimum, local maximum, saddle point, cannot be determined) (local minimum, local maximum, saddle point, cannot be determined)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter5: Graphs And The Derivative

Section5.1: Increasing And Decreasing Functions

Problem 33E

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