Q.26 Given the following set of discrete data: X 0.75 1.0 0.5 0.625 0.9250 0.7966 0.6363 0.200 0.25 0.375 f(x) 1.1035 1.0260 Estimate the first derivatives of f(x) at x= 0.5 by using all the appropriate difference formulas. For each of the answer, calculate the relative error (in percentage) as compared to f(x)=-0.1x¹ -0.15x³ -0.5x² -0.25x+1.2. the f'(0.5) if Excat - approximate Excat Hint: Relative error = -×100 0.875 0.4393 true value of
Q.26 Given the following set of discrete data: X 0.75 1.0 0.5 0.625 0.9250 0.7966 0.6363 0.200 0.25 0.375 f(x) 1.1035 1.0260 Estimate the first derivatives of f(x) at x= 0.5 by using all the appropriate difference formulas. For each of the answer, calculate the relative error (in percentage) as compared to f(x)=-0.1x¹ -0.15x³ -0.5x² -0.25x+1.2. the f'(0.5) if Excat - approximate Excat Hint: Relative error = -×100 0.875 0.4393 true value of
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Q.26 Given the following set of discrete data:
X
0.375
0.5
0.625
0.75
1.0
0.9250 0.7966 0.6363
0.200
0.25
f(x) 1.1035 1.0260
Estimate the first derivatives of f(x) at x= 0.5 by using all the appropriate difference
formulas. For each of the answer,
calculate the relative error
(in percentage) as compared to the
f(x)=-0.1x¹ -0.15x³ -0.5x² -0.25x+1.2.
f'(0.5) if
Excat - approximate
Excat
Hint: Relative error =
-×100
0.875
0.4393
true value of
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