Suppose that the first derivative of f(x) = is approximated by the following formula 2x+2 F'e (x-2h)- 6f(x– h) + 3f(x) + 2f(x +h) 6h f'(x) Then, the actual error for the approximation of f'(1) with h = 0.3 is most nearly %3D 0.00317 O 0.00197 0.00397 0.00123

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Suppose that the first derivative of f(x) =
2x+2
is approximated by the following formula
%3D
f'G) f(x- 2h) –6f(x-h)+3f(x) + 2f(x +h)
6h
Then, the actual error for the approximation of f'(1) with h = 0.3 is most nearly
O 0.00317
0.00197
0.00397
0.00123
Transcribed Image Text:Suppose that the first derivative of f(x) = 2x+2 is approximated by the following formula %3D f'G) f(x- 2h) –6f(x-h)+3f(x) + 2f(x +h) 6h Then, the actual error for the approximation of f'(1) with h = 0.3 is most nearly O 0.00317 0.00197 0.00397 0.00123
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