Find the local extrema of the following function. f(x.y) = 6 – x² - 7x - y² For the critical points that do not fail the second derivative test, determine whether these points are local maxima, local minima, or saddle points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Type an ordered pair. Use a comma to separate answers as needed.) O A. The function has no local extrema. O B. The function has local maxima located O C. The function has local minima located at

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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Find the local extrema of the following function.
f(x.y) = 6-x - 7x-y?
For the critical points that do not fail the second derivative test, determine whether these points are local maxima, local minima, or saddle points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
(Type an ordered pair. Use a comma to separate answers as needed.)
O A. The function has no local extrema.
O B. The function has local maxima located at
O C. The function has local minima located at
Transcribed Image Text:Find the local extrema of the following function. f(x.y) = 6-x - 7x-y? For the critical points that do not fail the second derivative test, determine whether these points are local maxima, local minima, or saddle points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an ordered pair. Use a comma to separate answers as needed.) O A. The function has no local extrema. O B. The function has local maxima located at O C. The function has local minima located at
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