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3. let gxyxeyex find and classify the critical points of gxy...

Question: let gxyxeyex find and classify the critical points of gxy...

Question details

Let g(x,y)=xe^y-e^x. Find and classify the critical points of g(x,y) in R^2 A.

A local maximum at(1,-2)

B. A saddle point at (1,-2)

C. None of above

D. A local minimum at(1,-2)

E. A saddle point at (0,0)