The graph of a differentiable function has a horizontal tangent at the point

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

Problem

The graph of a differentiable function ff has a horizontal tangent at the point (2,5)(2,5). Decide whether (f−1)′(5)(f^{-1})'(5) is positive, negative, zero, or does not exist, and give a brief reason for your choice.

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