Find the critical points of the following function. Use the Second Derivative Test to determine (if possible) whether each critical point corresponds to a local maximum, local minimum, or saddle point. If the Second Derivative Test is inconclusive, determine the behavior of the function at the critical points. f(x.y) =x* +y* - 4x + 32y + 4 What are the critical points? (Type an ordered pair. Use a comma separate answers as needed.)

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 critical points of the following function. Use the Second Derivative Test to determine (if possible) whether each critical point corresponds to a local maximum, local minimum, or saddle point. If the Second Derivative Test is inconclusive, determine the behavior of the
function at the critical points.
f(x,y) = x* + y* - 4x+ 32y + 4
---- -
What are the critical points?
(Type an ordered pair. Use a comma to separate answers as needed.)
Transcribed Image Text:Find the critical points of the following function. Use the Second Derivative Test to determine (if possible) whether each critical point corresponds to a local maximum, local minimum, or saddle point. If the Second Derivative Test is inconclusive, determine the behavior of the function at the critical points. f(x,y) = x* + y* - 4x+ 32y + 4 ---- - What are the critical points? (Type an ordered pair. Use a comma to separate answers as needed.)
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