- #1

- 603

- 6

## Homework Statement

Use Lagrange Multipliers to find the minimum value of [itex]f(x,y)=x^{2}+(y-1)^{2}[/itex] that lie on the hyperbola [itex]x^{2}-y^{2}=1[/itex]. Draw a picture to verify your final answer.

## Homework Equations

[itex]\nabla f=\lambda \nabla C[/itex]

## The Attempt at a Solution

So I can find the critical points and plug them into f and get 3 on both. I can draw a sketch but it doesn't really tell me anything. What exactly am I looking for? I make a contour plot but I have no idea if it's a local max/min.. if it's a global max or min. Basically I can get the numbers but they aren't telling me anything.