Find the absolute error in approximating the first derivative of the function f(x) = sin(x) at x = Tt/10 using the following divided differences table with a quadratic interpolating polynomial. %3D fx) = sin(x) 0.000000 0.974494 0.188891 T1/8 0.382683 0.826138 TI/4 0.707107 00.000018 0.071931 O 0.021069 O0.000000 ONone 30.040152

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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4 numerical analysis

Find the absolute error în approximating the first derivative of the function f(x) = sin(x) at x = t/10 using the
following divided differences table with a quadratic interpolating polynomial.
fx) = sin(x)
0.000000
0.974494
0.188891
T/8
0.382683
0.826138
Tt/4
0.707107
0.000018
0.071931
00.021069
0.000000
None
20.040152
Transcribed Image Text:Find the absolute error în approximating the first derivative of the function f(x) = sin(x) at x = t/10 using the following divided differences table with a quadratic interpolating polynomial. fx) = sin(x) 0.000000 0.974494 0.188891 T/8 0.382683 0.826138 Tt/4 0.707107 0.000018 0.071931 00.021069 0.000000 None 20.040152
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