Consider the function f(x,y) = xy²-3x2- y+2x +2. Then: a. f has a saddle point at (1,2). b. f has a local minimum at (1,2). C. f has a local maximum at (1,2). d. None of these

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Exercise 2
Consider the function f(x,y) = xy²-3x2-y² + 2x + 2. Then:
a. f has a saddle point at (1,2).
b. f has a local minimum at (1,2).
C. f has a local maximum at (1,2).
d. None of these
Transcribed Image Text:Exercise 2 Consider the function f(x,y) = xy²-3x2-y² + 2x + 2. Then: a. f has a saddle point at (1,2). b. f has a local minimum at (1,2). C. f has a local maximum at (1,2). d. None of these
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