Let f(x,y) = 4x³ + e-y². Find critical points and classify them as local maxima, local minima, saddle points, or none of these. critical points: (give your points as a comma separated list of (x,y) coordinates.) classifications: (give your answers in a comma separated list, specifying maximum, minimum, saddle point, or none for each, in the same order as you entered your critical points)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let 

\[ f(x, y) = 4x^3 + e^{-y^2}. \]

Find critical points and classify them as local maxima, local minima, saddle points, or none of these.

**Critical points:**  
(give your points as a comma-separated list of (x, y) coordinates.)

**Classifications:**  
(give your answers in a comma-separated list, specifying maximum, minimum, saddle point, or none for each, in the same order as you entered your critical points.)
Transcribed Image Text:Let \[ f(x, y) = 4x^3 + e^{-y^2}. \] Find critical points and classify them as local maxima, local minima, saddle points, or none of these. **Critical points:** (give your points as a comma-separated list of (x, y) coordinates.) **Classifications:** (give your answers in a comma-separated list, specifying maximum, minimum, saddle point, or none for each, in the same order as you entered your critical points.)
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