Question

Classification of critical points

Answer 1

Find and classify the critical points of \(f(x,y)=8xy-2x^2-y^4\)

Answer 2

Critical points are those "important" points, basically! Google is your friend: http://en.wikipedia.org/wiki/Critical_point_(mathematics).

Answer 3

I know what a critical point is. I don't know what it means to "classify" them.

Answer 4

If I had a region then I would have an interior point and a boundary curve. But no region is given to me. so would they all be classified as "interior"?

Answer 5

"is it a global/relative max/min I would think

Answer 6

ah that makes sense. so like max, min or saddle point?