# How do you minimize and maximize #f(x,y)=(x-y)/(x^2+y^2)# constrained to #0<xy-y^2<5#?

##### 1 Answer

Dec 27, 2016

See below.

#### Explanation:

Local maxima/minima can be located using the Lagrange Multipliers technique. The attached figure shows the two stationary points with local maxima/minima, at the feasible region border. The arrows show the objective function gradient direction at those points.