Use forward, backward, and centered difference approximations to estimate the first derivative of f(x) = 5x5 + 3x³ + 2x + 1 Use step size h = 0.5 and find the percentage error for each. Show all the steps and calculations, including the rules.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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Use forward, backward, and centered difference approximations to estimate the first derivative of
f (x) = 5x + 3x3 + 2x + 1
Use step size h = 0.5 and find the percentage error for each.
Show all the steps and calculations, including the rules.
Transcribed Image Text:Use forward, backward, and centered difference approximations to estimate the first derivative of f (x) = 5x + 3x3 + 2x + 1 Use step size h = 0.5 and find the percentage error for each. Show all the steps and calculations, including the rules.
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