Consider the function f(x) sin x +x. Using the following centered fifth-point formula of the first derivative: f'(x.) /(x-2h)-8f(xo-h) + 8/(x, + h) - f(x, + 2h)] 12h then the approximation of f'(0) with h-0.1 is: None of the answers 0.9998 This option This option 2.9999 3.9999

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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Consider the function f(x) sin x +x. Using the following centered fifth-point formula
of the first derivative:
f'(x.)
/(x-2h)-8f(xo-h) + 8/(x, + h) - f(x, + 2h)]
12h
then the approximation of f'(0) with h-0.1 is:
None of the answers
0.9998
This option
This option
2.9999
3.9999
Transcribed Image Text:Consider the function f(x) sin x +x. Using the following centered fifth-point formula of the first derivative: f'(x.) /(x-2h)-8f(xo-h) + 8/(x, + h) - f(x, + 2h)] 12h then the approximation of f'(0) with h-0.1 is: None of the answers 0.9998 This option This option 2.9999 3.9999
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