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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Question
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 \([2, 4]\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61e208b4-ce52-4c9c-b50c-a67ae02032c7%2Fcffd08a5-4b3e-4cc8-9d5b-3dbbb38bfc9c%2Fhdg3s9k_processed.jpeg&w=3840&q=75)
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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