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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
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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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
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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