Let with . Given that , determine the value of…

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

Problem

Let

f(x)=\ln(ax+1)

with

a>0

. Given that

(f^{-1})'(0)=\dfrac{1}{5}

, determine the value of

a

Related theory

Derivatives of Inverse Functions
Advanced Differentiation
Functions and invertibility
Relations and Functions
Invertible functions and inverse of a function

Browse the problem library