Let on the interval

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Let g(x)=−x3+3xg(x)=-x^{3}+3x on the interval [−3,3][-3,3]. At which value of xx does gg attain its absolute maximum on this interval? (a) x=1x=1 (b) x=3x=3 (c) x=−3x=-3 (d) x=−1x=-1

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