A differentiable

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

Problem

A differentiable, one-to-one function

g

passes through the points

(4,9)

and

(6,17)

. Assume the tangent line to

g

x=4

also contains

(6,17)

. Which value best approximates

(g^{-1})'(9)

? (a)

-0.25

(b)

0.25

(c)

0.125

(d)

4

Related theory

Derivatives of Inverse Functions
Advanced Differentiation
Functions and invertibility
Relations and Functions
Functions
Derivatives of inverse trigonometric functions
Continuity and Differentiability

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