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23.11 Develop a user-friendly program to obtain first-derivative estimates for unequally spaced data. Test it with the following data: 1.5 1.6 2.5 3.5 0.6767 0.3734 0.3261 0.08422 0.01596 where f(x) = 5e x. Compare your results with the true derivatives. х. %3D

23.11 Develop a user-friendly program to obtain first-derivative estimates for unequally spaced data. Test it with the following data: 1.5 1.6 2.5 3.5 0.6767 0.3734 0.3261 0.08422 0.01596 where f(x) = 5e x. Compare your results with the true derivatives. х. %3D

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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23.11 Develop a user-friendly program to obtain first-derivative estimates for unequally spaced data. Test it with the following data: 1.5 1.6 2.5 3.5 Alx) 0.6767 0.3734 0.3261 0.08422 0.01596 where f(x) = 5e x. Compare your results with the true derivatives. Estimate the first derivative of f(x) = -0.1x* – 0.15x³ – 0.5x² – 0.25x + 1.2 at x = 0.5 using finite differences and a step size h = 0.25. Employ the O(h) and O(h²) forward and backward difference formulas, and the O(h²) and 0(h*) centered difference formulas. Compute the absolute relative true error (in percent).
Transcribed Image Text:23.11 Develop a user-friendly program to obtain first-derivative estimates for unequally spaced data. Test it with the following data: 1.5 1.6 2.5 3.5 Alx) 0.6767 0.3734 0.3261 0.08422 0.01596 where f(x) = 5e x. Compare your results with the true derivatives. Estimate the first derivative of f(x) = -0.1x* – 0.15x³ – 0.5x² – 0.25x + 1.2 at x = 0.5 using finite differences and a step size h = 0.25. Employ the O(h) and O(h²) forward and backward difference formulas, and the O(h²) and 0(h*) centered difference formulas. Compute the absolute relative true error (in percent).
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