MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation
Problem
Let ga(x)=x3−3ax be defined on the closed interval [−2,2], where a is a real parameter. Which of the following lists all x-values that are guaranteed to be candidates for the absolute extrema of ga on [−2,2], regardless of the value of a?
(a) {−2,a}
(b) {−2,2}
(c) {−2,2,0}
(d) {a,−a}