Let , which is invertible on . Calculate…

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

Problem

Let f(x)=x3+xf(x)=x^{3}+x, which is invertible on R\mathbb R. Calculate (f−1)′(2)(f^{-1})'(2).

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