- #1
Retro95
- 6
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Homework Statement
Find the stationary point(s) and also find out whether the stationary point(s) are minimum/maximum
z = 2x + 5y - 5y2 - 5x2 - 4xy - 1000
Homework Equations
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The Attempt at a Solution
I'm not 100% sure if I was correct and laid the answer out properly, can someone please help me check it out and correct any mistakes
fx = 2 - 10x - 4y
fy = 5 - 10y - 4x
fxx = -10
fyy = -10
fxy = -4
2 - 10x - 4y = 0, therefore 4y = 2 and y = 0.5
Possible stationary points (0,0.5) (0,-0.5)
5 - 10y - 4x = 0, therefore 4x = 5 and x = 1.2
Possible stationary points (0,0.5) (0,-0.5)
(1.25,0) (-1.25,0)
fxxfyy-f2xy = 84 (Greater than 0, and fxx & fyy are less than 0 therefore it's a maximum)