Let be a function that allows continuous second partial derivatives, we know that: Vƒ(x,y) = (16x³ - xy², 4y³ - x²y + 24y² + 36y) fxx = 48x² - y² fyy = 12y² - x² + 48y + 36 fxy = -2xy Consider the critic point (a,b) with negative X coordinates, that point generates a saddle point. What's the value for a and b?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 11E: Find all points where the functions have any relative extrema. Identify any saddle points....
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Let be a function that allows continuous second partial derivatives, we know that:
Vf(x,y) = (16x³ - xy², 4y³ - x²y + 24y² + 36y)
fxx = 48x² - y²
fyy = 12y² - x² + 48y +36
fxy = -2xy
Consider the critic point (a,b) with negative X coordinates, that point generates a saddle point.
What's the value for a and b?
Transcribed Image Text:Let be a function that allows continuous second partial derivatives, we know that: Vf(x,y) = (16x³ - xy², 4y³ - x²y + 24y² + 36y) fxx = 48x² - y² fyy = 12y² - x² + 48y +36 fxy = -2xy Consider the critic point (a,b) with negative X coordinates, that point generates a saddle point. What's the value for a and b?
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