Find the value or values of c that satisfy the equation f '(c)=f(b)-f(a)/b-a in the given interval f(x)=ln(x-1) on [2,4]

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the value or values of c that satisfy the equation f '(c)=f(b)-f(a)/b-a in the given interval f(x)=ln(x-1) on [2,4]

5) Find the value or values of \( c \) that satisfy the equation 

\[
f'(c) = \frac{f(b) - f(a)}{b-a}
\]

in the given interval. 

\( f(x) = \ln(x-1) \) on \([2, 4]\).
Transcribed Image Text:5) Find the value or values of \( c \) that satisfy the equation \[ f'(c) = \frac{f(b) - f(a)}{b-a} \] in the given interval. \( f(x) = \ln(x-1) \) on \([2, 4]\).
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