Compute forward and backward difference approximations of O(h) and O(h2), and central difference approximations of O(h2) and O(h4) for the first derivative of y = cos x at x = π/4 using a value of h = π/ 12. Estimate the true percent relative error εt for each approximation.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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Compute forward and backward difference approximations of O(h) and O(h2), and central difference approximations of O(h2) and O(h4) for the first derivative of y = cos x at x = π/4 using a value of h = π/ 12.
Estimate the true percent relative error εt for each approximation.

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