Mathematics

Mathematics

Problem

For the family of functions Fa(x)=−x3+3axF_{a}(x)=-x^{3}+3ax, where aa is a real constant, at which of the following values of aa is x=ax=a a location of a relative maximum of FaF_{a}? a) a=0a=0 b) a=1a=1 c) a=−1a=-1 d) a=2a=2

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