- #1
ucbearcat
- 1
- 0
Find the maximum and minimum of f(x,y)=y2-x2 with the constraint x2/4 +y2=2.
My calculus professor gave us this on his exam and there were no problems like this in the book and I would just like to know how it's done because it's bothering me ha.
After doing the partial derivatives I got -2x=(x/2)λ and 2y=2yλ. This just makes λ=-4 and 1. I'm not sure what I should have done or do from here since there is no variables to find the min and max unless there is no maximums or minimums but I feel like there would be because it was the only problem about lagrange multipliers on the exam.
My calculus professor gave us this on his exam and there were no problems like this in the book and I would just like to know how it's done because it's bothering me ha.
After doing the partial derivatives I got -2x=(x/2)λ and 2y=2yλ. This just makes λ=-4 and 1. I'm not sure what I should have done or do from here since there is no variables to find the min and max unless there is no maximums or minimums but I feel like there would be because it was the only problem about lagrange multipliers on the exam.