(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Locate the critical point of the function,

e^-(x^(2)+y^(2)+2x)

2. Relevant equations

none

3. The attempt at a solution

Ok first step differentiate the function and set it to zero for both fx and fy,

Fx(x,y) = (-2x-2)e^(-x^(2)-y^(2)-2x)

Fy = -2ye^(-x^(2)-y^(2)-2x)

Now I need to solve both equations simultaneously,

I get

ln(-2x-2)-x^(2)-y^(2)-2x = 0

and

ln(-2y)-x^(2)-y^(2)-2x = 0

and this is where I am stuck. :( any advice would be welcomed :D

thanks,

Dan

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# Critical points multivariable

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