# How do you minimize and maximize #f(x,y)=(xy)^2-x+y# constrained to #1<yx^2+xy^2<16#?

##### 1 Answer

Jan 28, 2017

See below.

#### Explanation:

There are four characteristic points characterizing local maxima/minima at

This result can be obtained using the Lagrange Multipliers technique. The attached plot shows the feasible region with the points located at the boundaries.