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Consider the following function. f(x,y)=x2+xy+y2+ 5y Find the following derivatives. w, y) fy(x, y) fXX(X, Y) rxy(x, y) ryy(x, y) Find the critical point. w

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Consider the following function. f(x,y)=x2+xy+y2+ 5y Find the following derivatives. w, y) fy(x, y) fXX(X, Y) rxy(x, y) ryy(x, y) Find the critical point. w > Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) local maximum value(s) local minimum value(s) saddle point(s) (X, Y) =

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