- #1

- 36

- 0

How can I use Lagrange Multipliers to get the Extrema of a curve

*f(x,y) = x*over a rectangular region

^{2}+4y^{2}-2x^{2}y+4*-1<=x<=1*and

*-1<=y<=1*?

Thanks

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- I
- Thread starter SamitC
- Start date

- #1

- 36

- 0

How can I use Lagrange Multipliers to get the Extrema of a curve

Thanks

- #2

Ssnow

Gold Member

- 532

- 156

- #3

- 8,614

- 2,692

- First, find the extrema forgetting about the rectangle.
- Then if the extrema found in step 1 are all inside the rectangle, then you're done.
- If not, then use the method of Lagrange multipliers to find the extrema for each of the four sides of the rectangle.

- #4

- 16,939

- 6,746

- #5

- 36

- 0

Thanks a lot. Its clear now.

Share: