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Local Extremum – A function with fixed powers – Exercise 6524

Exercise

Find the local extremum points of the function

z(x,y)=x^2+xy+y^2+\frac{1}{x}+\frac{1}{y}

Final Answer


(\frac{1}{\sqrt[3]{3}},\frac{1}{\sqrt[3]{3}})

Solution

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