3Determine whether the given function has a ma tiffany ximum or a minimum value
1) “Finding gl tiffany obal maxima and minima is the goal of optimization. If a function is continuous on a closed interval, then by the extreme value theorem global maxima and minima exist. Furthermore, a global maximum (or minimum) either must be a local maximum (or minimum) in the interior of the domain, or must lie on the boundary of the domain. So a method of finding a global maximum (or minimum) is to look at all the local maxima (or minima) in the interior, and also look at the maxima (or minima) of the points on the boundary; and take the biggest (or smallest) one.
Local extrema can be found by Fermat theorem, which states that they must occur at critical points. One can distinguish whether a critical tiffany point is a local maximum or local minimum by using the first derivative test or second derivative tiffany test.”