The function is one-to-one with inverse

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

Problem

The function

f(x)=x^{3}+2x+1

is one-to-one with inverse

g

. Determine

g'(4)

, or state that it does not exist.

Related theory

Derivatives of Inverse Functions
Advanced Differentiation
Differentiation Rules

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