Expresión 8: "x" cubed minus 6 "x" "y" minus "y" cubed equals "z"x3−6xy−y3=z
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Since smaller loops correspond to larger z values, those loops collapse down to the location of a maximum. We'll see how to find the exact coordinates in the next folder.
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Equations for the critical points
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The critical points should be the solutions of the following equations. Turn them on to see where those curves intersect.
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Expresión 12: 3 "x" squared minus 6 "y" equals 03x2−6y=0
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Expresión 13: negative 6 "x" minus 3 "y" squared equals 0−6x−3y2=0
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Expresión 14: "m" equals "f" left parenthesis, negative 2 , 2 , right parenthesism=f−2,2
equals=
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max = ${m} left parenthesis, negative 2 , 2 , right parenthesis−2,2
