Consider the following data: -0.4 -0.2 0.2 0.4 0.6 f(3+x) 1.8762 1.4471 1.3478 2.0113 2.0416 2.7886 i. Estimate f'(3.0) using 5-point centered difference formula. ii. Estimate f'(3.1) using the most appropriate finite difference formula.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following data:
-0.4
-0.2
0.2
0.4
0.6
f(3+x)
1.8762
1.4471
1.3478
2.0113
2.0416
2.7886
i.
Estimate f '(3.0) using 5-point centered difference formula.
ii.
Estimate f'(3.1) using the most appropriate finite difference formula.
Transcribed Image Text:Consider the following data: -0.4 -0.2 0.2 0.4 0.6 f(3+x) 1.8762 1.4471 1.3478 2.0113 2.0416 2.7886 i. Estimate f '(3.0) using 5-point centered difference formula. ii. Estimate f'(3.1) using the most appropriate finite difference formula.
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