Let for all real

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

Problem

Let f(x)=x3+2x+1f(x)=x^{3}+2x+1 for all real xx. Given that f(1)=4f(1)=4, determine (f−1)′(4)(f^{-1})'(4).

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