Hi, can some one help with this please.
How I can fine all of the potential maxima and minima for f(x,y).
We suppose the second partial derivatives of the function is continuous on some disk centered at the point .
If and then we call a critical point of .
we can classify the critical point as follows:
case 1: If and , then is a local minimum
case 2: If and , then is a local maximum
case 3: If , then is a saddle point
My Calc I professor and I wound up switching books during a class one day. (Unfortunately, no it wasn't a "teacher's" text with the answers.) I didn't find out about it until after finals, when noticed some scribblings in the part of the text I had read earlier that semester. Since I had bought the book new and didn't make the scribbles (that weren't there when I read the material) I realized what had happened.
I paid for a new textbook and wound up with a used and written in book!
(If that story doesn't move you, then you obviously don't love and worship your textbooks like I do.)