(adsbygoogle = window.adsbygoogle || []).push({}); urgent! second derivative test for functions of 2 variables

1. The problem statement, all variables and given/known data

f(x,y)=x^4 - y^2 - 2x^2 + 2y - 7

2. Relevant equations

classify points (0,1) and (-1,1) as local maximum, local minimum or inclusive

3. The attempt at a solution

f(x,0)=4x^3 - 0 - 4x + 0 - 0 = 4x^3-4x

f'(x,0)=12x^2-4

f''(x,0)=24x

f(0,y)=0 - 2y - 0 + 2 - 0 = -2y+2

f'(0,y)=-2

f''(0,y)=0

how to find the points as above? as i am stuck.

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# Homework Help: Second derivative test for functions of 2 variables

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