A differentiable function satisfies and has tangent slope

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

Problem

A differentiable function

f

satisfies

f(3)=7

and has tangent slope

f'(3)=-4

. Determine

(f^{-1})'(7)

Related theory

Derivatives of Inverse Functions
Advanced Differentiation

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