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Question: Finding local minima and maxima of a function of two variables

Question:Finding local minima and maxima of a function of two variables

GPY 80 Maple
February 16 2015
1

I need to find the local maxima and minima of f(x,y)=x(x+y)*e^(y-x). I have tried to look for an appropriate method that I could use to achieve this, but got stuck. I also don't quite understand the math behind tying to obtain the local maxima and  minima for a function of this type.
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