Suppose is differentiable at with and

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

Problem

Suppose ff is differentiable at x=2x=2 with f(2)=7f(2)=7 and f′(2)=0f'(2)=0. Explain whether the inverse function f−1f^{-1} is differentiable at x=7x=7.

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