6. [-/2 Points] DETAILS Consider the following function. 6 9(x) = - x2 + 2 Notice that the domain of g(x) is (-co, co). Our goal is to find the absolute extrema of g(x), i.e. the absolute extrema of g(x) over its e Find the derivative of the function. g' ( x ) = Find any critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X = Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) maximum minimum