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Given a data set as attached xi 0.2 0.3 0.4 0.5 0.6 0.7 fi 1.0832 1.1972 1.3771 1.6487 2.0544 2.6644 Determine the approximate values of f'(0.4) and f''(0.4) using the approach of 2 point forward difference, 2 point backward difference, 3 point central difference, 3 point forward difference, and 3 point backward difference for the value of table with function f(?) = e2x^2. Which method gives an estimate the best

Given a data set as attached xi 0.2 0.3 0.4 0.5 0.6 0.7 fi 1.0832 1.1972 1.3771 1.6487 2.0544 2.6644 Determine the approximate values of f'(0.4) and f''(0.4) using the approach of 2 point forward difference, 2 point backward difference, 3 point central difference, 3 point forward difference, and 3 point backward difference for the value of table with function f(?) = e2x^2. Which method gives an estimate the best

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given a data set as attached

xi 0.2 0.3 0.4 0.5 0.6 0.7
fi 1.0832 1.1972 1.3771 1.6487 2.0544 2.6644

Determine the approximate values of f'(0.4) and f''(0.4) using the approach of 2 point forward difference, 2 point backward difference, 3 point central difference, 3 point forward difference, and 3 point backward difference for the value of table with function f(?) = e2x^2. Which method gives an estimate
the best?

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