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.

3 answers

You must be taking a test!!

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thank you for your time.
(-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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