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Local maxima, minimum and saddle points

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These questions are from ESSENTIAL CALCULUS 2ND EDITION, BY WRIGHT-HURD-NEW.

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Finding saddle points, minimum and maximum of several functions of two variables.

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Local maximum and minimum and saddle points

Find the local maximum and minimum values and the saddle points of the functions.

1.)f(x,y)= xy(1-x-y)

2.)f(x,y)= (x^2y^2 - 8x + y)/(xy)

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