Given f(x, y) = x³y − 3xy + y² − 1. (a) Find the critical points of f. (b) Use the Second Derivatives Test to classify the critical points obtained in (a).

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Chapter2: Second-order Linear Odes
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1. Given f(x, y) = x³y − 3xy + y² – 1.
(a) Find the critical points of f.
(b) Use the Second Derivatives Test to classify the critical points obtained in (a).
Transcribed Image Text:1. Given f(x, y) = x³y − 3xy + y² – 1. (a) Find the critical points of f. (b) Use the Second Derivatives Test to classify the critical points obtained in (a).
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