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Find all local maxima, local minima, and saddle points of each of the following functions. f(x,y)=x 3 -6x 2 +y 2 +6y+2 f(x,y)=x 2 /2+3y

Find all local maxima, local minima, and saddle points of each of the following functions.

f(x,y)=x³-6x²+y²+6y+2

f(x,y)=x²/2+3y³+9y²-3xy+9y-9x

f(x,y)=2x³-24xy+16y³

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