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Find the first order derivative (forward difference, backward difference, central difference) at x = 2 for the following function. Also calculate the true percent error for each of the methods. Which method gives the best approximation? f(x) = -0.1x² -0.15x²-0.5x² - 0.25x

Find the first order derivative (forward difference, backward difference, central difference) at x = 2 for the following function. Also calculate the true percent error for each of the methods. Which method gives the best approximation? f(x) = -0.1x² -0.15x²-0.5x² - 0.25x

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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Find the first order derivative (forward difference, backward difference, central difference) at x = 2 for the following function. Also calculate the true percent error for each of the methods. Which method gives the best approximation? f(x) = -0.1x*-0.15x²-0.5x² - 0.25x
Transcribed Image Text:Find the first order derivative (forward difference, backward difference, central difference) at x = 2 for the following function. Also calculate the true percent error for each of the methods. Which method gives the best approximation? f(x) = -0.1x*-0.15x²-0.5x² - 0.25x
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