Using Backward Difference, approximate the derivative of the function f(x)=/x at x=1 for various values of h given in the Table below. At n = 10, what is the percentage of error? Round off answer to 10 decimal places. 1 0.1000000000 0.0500000000 3 0.0250000000 0.0125000000 5 0.0062500000 6 0.0031250000 0.0015625000 8 0.0007812500 9 0.0003906250 10 0.0001953125

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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Using Backward Difference, approximate the derivative of the function f(x) =/x at x=1 for various values of h given in the Table below. At
n = 10, what is the percentage of error? Round off answer to 10 decimal places.
1
0.1000000000
2
0.0500000000
3
0.0250000000
4
0.0125000000
0.0062500000
0.0031250000
7
0.0015625000
8
0.0007812500
9
0.0003906250
10
0.0001953125
Transcribed Image Text:Using Backward Difference, approximate the derivative of the function f(x) =/x at x=1 for various values of h given in the Table below. At n = 10, what is the percentage of error? Round off answer to 10 decimal places. 1 0.1000000000 2 0.0500000000 3 0.0250000000 4 0.0125000000 0.0062500000 0.0031250000 7 0.0015625000 8 0.0007812500 9 0.0003906250 10 0.0001953125
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