Posted by enigma on Wednesday, September 26, 2012 at 10:53am.
A function is given by,
f(x,y) = x^4  y^2  2x^2 + 2y  7
Using the second derivative test for functions of two variables, classify the points (0,1) and (1,1) as local maximum, local minimum or inconclusive.

math  Writeacher, Wednesday, September 26, 2012 at 10:57am
You must be taking a test!!
Please be aware that no one here will do your work for you, especially when you post your last 7 problems (with no thoughts of your own) in under 4 minutes!!

math  enigma, Friday, September 28, 2012 at 3:44pm
i apologise if that is the case. it's just that i have no idea where to start.
thank you for your time.

math  enigma, Saturday, September 29, 2012 at 2:33am
(1,1) is classified as a saddle point because the value it gives after the second derivative test is less than 0 therefore the value is inconclusive. While (0,1) is classified as a local maximum because the value it gives after the second derivative test is a negative.
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