Let . Which of the following lists all real numbers for which fails to…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

Let f(x)=x3−3xf(x)=x^{3}-3x. Which of the following lists all real numbers yy for which (f−1)′(y)(f^{-1})'(y) fails to exist? (a) {−1, 1}\{-1,\,1\} (b) {−2, 2}\{-2,\,2\} (c) {−2}\{-2\} (d) {0}\{0\}

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