b) Given the following data in table below: f(x) 9.367879 8.233241 7.180350 6.209329 -3.0 -2.8 -2.6 -2.4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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Question
2
a) Construct the error formula for the first derivative f'(x) of three-point formula when
considering polynomial at three points, xp, X1 and x2, then let x=x,. Show your steps
clearly.
b) Given the following data in table below:
f(x)
-3.0
9.367879
8.233241
7.180350
6.209329
-2.8
-2.6
-2.4
Approximate f'(-2.6) using two-point formula and three-point formula (choose either
forward, backward or centre). Which formula should give the best result? Provide
explanation to support your answer.
Transcribed Image Text:a) Construct the error formula for the first derivative f'(x) of three-point formula when considering polynomial at three points, xp, X1 and x2, then let x=x,. Show your steps clearly. b) Given the following data in table below: f(x) -3.0 9.367879 8.233241 7.180350 6.209329 -2.8 -2.6 -2.4 Approximate f'(-2.6) using two-point formula and three-point formula (choose either forward, backward or centre). Which formula should give the best result? Provide explanation to support your answer.
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