# How do you find critical points for #f(x,y)= 2y^3+3x^3-6xy#?

##### 1 Answer

Set both partial first derivatives to

#### Explanation:

**Partial derivatives set to #0#**

**Solve the system**

From the first equation, we get:

Substituting into the second equation gives us:

So

And

Clear the fraction:

So we get:

Whose solutions are:

Recall that:

when

when

Thus

**Answer**

The critical points are