For a continuous function

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

Problem

For a continuous function hh, it is known that h(3)=5h(3)=5 and h′(3)=0h'(3)=0. Which statement describes (h−1)′(5)(h^{-1})'(5)? (a) (h−1)′(5)=0(h^{-1})'(5)=0 (b) (h−1)′(5)(h^{-1})'(5) is undefined because the graph has a vertical tangent at (3,5)(3,5) (c) (h−1)′(5)=15(h^{-1})'(5)=\dfrac15 (d) (h−1)′(5)=1(h^{-1})'(5)=1

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