# What are the critical points of #f(x,y) = e^(x^3) + y^3 - e^(xy)#?

##### 1 Answer

Oct 31, 2015

The critical points are

#### Explanation:

The partial derivatives are:

If you set these both equal to 0, the resulting system of equations clearly has

The first one is a saddle point and the second one is a local minimum.

Below is a 3-dimensional picture of the graph of this function. The positive