The table below shows the average rates of change for points near In (2) for the function f(x) = e + 1. (eln2+1)-(ea + 1) a In 2- a 1 2.34080 2.11076 0.8 0.7 0.6935 2.0068685 2.00035 0.69315 2.0000028 0.69314 1.9999928 0.6930 1.99985 0.69 1.996856 0.6 1.90968 1.442695 0 Using this information, what is the estimation of the instantaneous rate of change at In (2)? 27

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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The table below shows the average rates of change for points near In (2) for the function f(x) = e +1.
(eln2+1)-(ea + 1)
a
In 2- a
1
2.34080
0.8
2.11076
0.7
2.0068685
0.6935
2.00035
0.69315
2.0000028
0.69314
1.9999928
0.6930
1.99985
0.69
1.996856
0.6
1.90968
1.442695
0
Using this information, what is the estimation of the instantaneous rate of change at In (2)?
In(2)
It is not defined.
Transcribed Image Text:The table below shows the average rates of change for points near In (2) for the function f(x) = e +1. (eln2+1)-(ea + 1) a In 2- a 1 2.34080 0.8 2.11076 0.7 2.0068685 0.6935 2.00035 0.69315 2.0000028 0.69314 1.9999928 0.6930 1.99985 0.69 1.996856 0.6 1.90968 1.442695 0 Using this information, what is the estimation of the instantaneous rate of change at In (2)? In(2) It is not defined.
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