Let f (x, y ) be a function and fyx = 2xy, D (x, y) = fxx fyy - fxy fxy = x2 - 3y. Then what is true for the critical points P (2,1 ) and Q(1, - 4 )? O a. P is a saddle point, Q is a local maximum. O b. P is a local maximum, Q is a local minimum. OC. Pis a local minimum, Q is a saddle point. O d.P is local minimum, Q is a local maximum.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let f (x. y ) be a function and fxx = 2xy, D(x. y) = fxx fyy - fxy fxy = x2 - 3y. Then what is true for the critical points P (2,1 ) and
Q( 1, - 4 )?
O a. P is a saddle point, Q is a local maximum.
O b. P is a local maximum, Q is a local minimum.
OC. Pis a local minimum, Q is a saddle point.
O d.P is local minimum, Q is a local maximum.
Transcribed Image Text:Let f (x. y ) be a function and fxx = 2xy, D(x. y) = fxx fyy - fxy fxy = x2 - 3y. Then what is true for the critical points P (2,1 ) and Q( 1, - 4 )? O a. P is a saddle point, Q is a local maximum. O b. P is a local maximum, Q is a local minimum. OC. Pis a local minimum, Q is a saddle point. O d.P is local minimum, Q is a local maximum.
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