Find the critical points of the function f(x, y) = x + y - 196xy Answer: Starting with the point with the smallest æ value, use the Second Derivative Test to determine whether each critical point is P₁ A. a local minimum B. a local maximum OC. test fails D. a saddle point P₂ A. a saddle point OB. test fails C. a local minimum D. a local maximum P3 A. a local minimum B. a local maximum OC. test fails D. a saddle point

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 function f(x, y) = x + y - 196xy
Answer:
Starting with the point with the smallest æ value, use the Second Derivative Test to determine whether each critical point is
P₁
A. a local minimum
B. a local maximum
OC. test fails
D. a saddle point
P₂
A. a saddle point
OB. test fails
C. a local minimum
D. a local maximum
P3
A. a local minimum
B. a local maximum
OC. test fails
D. a saddle point
Transcribed Image Text:Find the critical points of the function f(x, y) = x + y - 196xy Answer: Starting with the point with the smallest æ value, use the Second Derivative Test to determine whether each critical point is P₁ A. a local minimum B. a local maximum OC. test fails D. a saddle point P₂ A. a saddle point OB. test fails C. a local minimum D. a local maximum P3 A. a local minimum B. a local maximum OC. test fails D. a saddle point
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