Find the actual error when the first derivative of f (x) = e-2* at x = 1 is approximated by the following 3-point formula f'(x) f(x + h)+f(x) – 2f(x – h) 4h with h = 0.3. 0.2313 0.5544 0.0431 0.0343

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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Find the actual error when the first derivative of f (x) = e-2* at x = 1 is approximated by the following
3-point formula
f(x + h) + f (x) – 2f(x – h)
f'(x) =
4h
with h = 0.3.
0.2313
0.5544
0.0431
0.0343
Transcribed Image Text:Find the actual error when the first derivative of f (x) = e-2* at x = 1 is approximated by the following 3-point formula f(x + h) + f (x) – 2f(x – h) f'(x) = 4h with h = 0.3. 0.2313 0.5544 0.0431 0.0343
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