Quiz 6: Classifying critical points
Problem 1.a) Find the critical points of f(x,y)=xy(x+y-1).
1.b) Use the second derivative test to determine the type of the critical
points that you found in 1.a).
Problem 2) Suppose you know that (0,0) is a critical point of f, and
you know that D(0,0) is not zero, but fyy(0,0) is. What kind
of critical point is (0,0)?
A) A Max.
| B) A Min. |
| C) A Saddle. |