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Author Question: Find and classify all critical points for the function f(x, y) = x3 - 12xy2 + y3 + 45y. (Read 40 times)

tiara099

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Question 1

Find and classify all critical points for the function  f(x, y) = .
◦ (-1, 0); maximum
◦ (1, 0); minimum
◦ (0, 0); saddle
◦ (0, 0);  minimum
◦ There are no critical points.

Question 2

Find and classify all critical points for the function f(x, y) = x3 - 12xy2 + y3 + 45y.
◦ (2, 1) and (-2, -1) are saddle points
◦ (2, 1) is a local maximum and (-2, -1)  is a local minimum
◦ (2, 1),  (2, -1),  (-2, 1),  and (-2, -1) are saddle points
◦ (2, -1) and  (-2, 1)  are saddle points
◦ There are no critical points.


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Marked as best answer by tiara099 on May 27, 2021

mcarey591

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tiara099

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Reply 2 on: May 27, 2021
:D TYSM


Zebsrer

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Reply 3 on: Yesterday
Excellent

 

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