Find the local maximums, local minimums, and saddle points of the function f(x,y)=x^4+y^4-4xy+4. You should enter your points into the variables local_max, local_min, and saddle as matrices, in which n is the number of points in each category with columns x, y,  respectively

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Find the local maximums, local minimums, and saddle points of the function f(x,y)=x^4+y^4-4xy+4. You should enter your points into the variables local_max, local_min, and saddle as matrices, in which n is the number of points in each category with columns x, y,  respectively. They should be ordered lexicographically in the rows. If there are no points in a certain category, write [NaN]. furthermore also find the absolute minimum and absolute maximum values of f on the closed traingular region R with vertices (1.0), (5,0), (1,4).
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