A differentiable function and its derivative are partially tabulated below: x : 1 2 3…

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

Problem

A differentiable function

g

and its derivative are partially tabulated below: x : 1 2 3 g(x) : 3 5 8 g'(x) : 4 2 −1 Determine

(g^{-1})'(5)

Related theory

Derivatives of Inverse Functions
Advanced Differentiation
Derivatives of standard functions via chain rule
Derivatives of composite functions
Continuity and Differentiability

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