# How do you maximize and minimize #f(x,y)=1/(xy)# constrained to #2<x^2+y<4#?

##### 1 Answer

Mar 2, 2017

See below.

#### Explanation:

Using the technique of Lagrange Multipliers to locate the stationary points we obtain the solution about the local minima/maxima.

The attached plot shows the local minima/maxima points at the feasible region boundary.