Let be differentiable with and

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

Problem

Let gg be differentiable with g(2)=5g(2)=5 and g′(2)=−4g'(2)=-4. What is (g−1)′(5)(g^{-1})'(5)? (a) −15-\dfrac15 (b) 14\dfrac14 (c) −4-4 (d) −14-\dfrac14

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