Let . The inverse function is defined near . What is…

MATHEMATICS · Single correct · 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. The inverse function f−1f^{-1} is defined near x=4x=4. What is (f−1)′(4)(f^{-1})'(4)? (a) 55 (b) 13\dfrac{1}{3} (c) 150\dfrac{1}{50} (d) 15\dfrac{1}{5}

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