Examine the function f(x, y) = x² -18xy +y³ +8 for relative extrema and saddle points. a) saddle point: (6,6, –208) ; relative minimum: (0,0,8) b) relative minimum: (0,0,8) ; relative maximum: (6,6, –208) c) saddle point: (0,0,8) ; relative minimum: (6,6, –208) O d) saddle points: (0,0,8), (6,6, –-208) e) relative minimum: (6,6,–208); relative maximum: (0,0,8)

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 4E
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Examine the function f(x,y)=x-18xy +y +8 for relative extrema and saddle
points.
a) saddle point: (6,6, –208) ; relative minimum: (0,0,8)
b) relative minimum: (0,0,8); relative maximum: (6,6, –208)
c) saddle point: (0,0,8); relative minimum: (6,6, –208)
O d) saddle points: (0,0,8), (6,6, –208)
e) relative minimum: (6,6, –208); relative maximum: (0,0,8)
Transcribed Image Text:Examine the function f(x,y)=x-18xy +y +8 for relative extrema and saddle points. a) saddle point: (6,6, –208) ; relative minimum: (0,0,8) b) relative minimum: (0,0,8); relative maximum: (6,6, –208) c) saddle point: (0,0,8); relative minimum: (6,6, –208) O d) saddle points: (0,0,8), (6,6, –208) e) relative minimum: (6,6, –208); relative maximum: (0,0,8)
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