Find the critical point(s) of the function. f(x, y) = x' y+ 12x² – 8y + 2 (Give your answer as a comma-separated list of points in the form (*,*) if needed. Express numbers in exact form. Use symbolic notation and fractions where needed.) critical point(s): Compute the discriminant D(x, y). (Express numbers in exact form. Use symbolic notation and fractions where needed.) D(x, y) = Categorize the critical point(s). local maximum local minimum saddle point none of the above
Find the critical point(s) of the function. f(x, y) = x' y+ 12x² – 8y + 2 (Give your answer as a comma-separated list of points in the form (*,*) if needed. Express numbers in exact form. Use symbolic notation and fractions where needed.) critical point(s): Compute the discriminant D(x, y). (Express numbers in exact form. Use symbolic notation and fractions where needed.) D(x, y) = Categorize the critical point(s). local maximum local minimum saddle point none of the above
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Find the critical point(s) of the function.
f(x, y) = x' y+ 12x² – 8y + 2
(Give your answer as a comma-separated list of points in the form (*,*) if needed. Express numbers in exact form. Use symbolic
notation and fractions where needed.)
critical point(s):
Compute the discriminant D(x, y).
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
D(x, y) =
Categorize the critical point(s).
local maximum
local minimum
saddle point
none of the above
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