Let f(x) 3 and consider the approximation of f'(2) given by the formula f (2+h)-f(2) f (2) 2 h (all rounded to four significant Compute the approximation, its true error, and its relative true error digits) for the following values of h: 0.1, 0.01, and 0.0001

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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Let f(x) 3 and consider the approximation of f'(2) given by the formula
f (2+h)-f(2)
f (2)
2
h
(all rounded to four significant
Compute the approximation, its true error, and its relative true error
digits) for the following values of h: 0.1, 0.01, and 0.0001
Transcribed Image Text:Let f(x) 3 and consider the approximation of f'(2) given by the formula f (2+h)-f(2) f (2) 2 h (all rounded to four significant Compute the approximation, its true error, and its relative true error digits) for the following values of h: 0.1, 0.01, and 0.0001
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