How do you find critical points for f(x,y)= 2y^3+3x^3-6xy?
1 Answer
Jun 30, 2015
Set both partial first derivatives to
Explanation:
Partial derivatives set to
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