Find and classify all critical points of the function f (x, y) = x* + y* - xy. 4(0) = 4 (010) D= 12(6)*. 12(0)*-(-

Calculus: Early Transcendentals
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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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I feel like I am messing up with the (0,0) point. It doesn’t make sense that 1 would be a relative max and 8 rel min. What am I missing? Thanks!
D- fxx!
7. Find and classify all critical points of the function f (x, y) = x* + y* – xy.
D= 12(0)². 12(0)" - (-1)"=1
(눈는) 0=2()'. 12t):-(-1)e- 8 rel min
(-놀,t) -12(-는)-12l t) -(+)° = S relmin
rel max
fy- Ax° -y =0
4(0)
(o10)
3
- X = 0
4( 4 x*)-x=0
4(늘)- 4
4(수) = 9
256 x" - x = 0
x(251 x -1) =0
fxx (늘,는)= 3
256 x =1
4(-$)=4
8. Find the maximum and minimum values of f(x, y) = x³y* subject to the
constraint 5x2 + 2y² = 14.
Transcribed Image Text:D- fxx! 7. Find and classify all critical points of the function f (x, y) = x* + y* – xy. D= 12(0)². 12(0)" - (-1)"=1 (눈는) 0=2()'. 12t):-(-1)e- 8 rel min (-놀,t) -12(-는)-12l t) -(+)° = S relmin rel max fy- Ax° -y =0 4(0) (o10) 3 - X = 0 4( 4 x*)-x=0 4(늘)- 4 4(수) = 9 256 x" - x = 0 x(251 x -1) =0 fxx (늘,는)= 3 256 x =1 4(-$)=4 8. Find the maximum and minimum values of f(x, y) = x³y* subject to the constraint 5x2 + 2y² = 14.
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