Hi, can some one help with this please.
How I can fine all of the potential maxima and minima for f(x,y).
Thanks ^_^
I believe the poster was talking about functions of two variables. it is a slightly different.
this is the kind of question for which you should consult your text for the answer.
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 .
Define
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.)
-Dan