Given the following data. 1.5 1.6 1.7 1.8 1.9 2.0 f(x)| 1 |2.35 3.12 5.62 | 7.7 9.5 Estimate (a) f'(1.5) and f' (2) using the most suitable 3 point finite difference formulae with h = 0.1. (b) f"(1.8) using 5 point difference formula with h = 0.1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Given the following data.
1.5
1.6
1.7
1.8
1.9 | 2.0
f(x)
1
2.35
3.12 5.62
7.7 9.5
Estimate
(a) f'(1.5) and f'(2) using the most suitable 3 point finite difference formulae with
h = 0.1.
(b) f"(1.8) using 5 point difference formula with h = 0.1.
Transcribed Image Text:Given the following data. 1.5 1.6 1.7 1.8 1.9 | 2.0 f(x) 1 2.35 3.12 5.62 7.7 9.5 Estimate (a) f'(1.5) and f'(2) using the most suitable 3 point finite difference formulae with h = 0.1. (b) f"(1.8) using 5 point difference formula with h = 0.1.
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