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4. (12 points) Find the critical points of f(x,y) = 2y3 + 3r? - 6xy and determine whether they are local minimum, maximum, or
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in Lo n g f(x,y) = 249+34-637 f = 64-by fy = 6y-6X) fuy = -6 heto critical points are obtained by solving fr=0 and fy.co fx=Critical points are cool ,(1,1). at the hessian H of f is at (x,y) is H(x,y) = fon fugl 16 -61 for fyny 1 = -6 127 iH (0,0) -

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4. (12 points) Find the critical points of f(x,y) = 2y3 + 3r? - 6xy and...
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