Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 2xy – x - 4y² + 3x + 6

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 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Find all the local maxima, local minima, and saddle points of the function.
f(x,y) = 2xy – x – 4y + 3x + 6
-X
-
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. A local maximum occurs at.
(Type an ordered pair. Use a comma to separate answers as needed.)
The local maximum value(s) is/are
(Type an exact answer. Use a comma to separate answers as needed.)
B. There are no local maxima.
Transcribed Image Text:Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 2xy – x – 4y + 3x + 6 -X - Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. A local maximum occurs at. (Type an ordered pair. Use a comma to separate answers as needed.) The local maximum value(s) is/are (Type an exact answer. Use a comma to separate answers as needed.) B. There are no local maxima.
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