We have the following multi-variable function f(x,y) = x^{3}-12xy+8y^2 .
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We have the following multi-variable function .
(a) Given only this function, let’s try to search for all local extremal values of the function and we also have to categorize each extremal value as either a local minima/maxima or saddle point.
(b) Looking at the function, we see that the domain of f is . From this information and from part b, let’s find the absolute maximum and minimum values, if they actually exist. If any absolute value(s) does not exist, please explain the reasoning.
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