1. Compute forward and backward difference approximations of O(h) and O(h²), and central difference approximations of O(h²) and O(h) for the first derivative of y=sin x at x = T 4 using a value of h=2. Given the true value is 0.7071. Estimate the true percent relative error &, for each approximation.
1. Compute forward and backward difference approximations of O(h) and O(h²), and central difference approximations of O(h²) and O(h) for the first derivative of y=sin x at x = T 4 using a value of h=2. Given the true value is 0.7071. Estimate the true percent relative error &, for each approximation.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 30AR: Determine dimension x to 3 decimal places.
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Transcribed Image Text:Tutorial 11: Numerical Differentiation
1. Compute forward and backward difference approximations of O(h) and O(h²), and central
difference approximations of O(h²) and O(h*) for the first derivative of y = sin x at x = -
4
using a value of h =
Given the true value is 0.7071. Estimate the true percent relative
12
error ɛ, for each approximation.
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