Find the most accurate finite difference formula and the corresponding leadi following derivatives: (a) f"(x)
Find the most accurate finite difference formula and the corresponding leadi following derivatives: (a) f"(x)
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Complete tasks "i" through "iv" for parts a, b, and c. Be sure to use the specified function values.

Transcribed Image Text:3. Find the most accurate finite difference formula and the corresponding leading error term for the
following derivatives:
(a) ƒ"(x)
(b) f(iv) (x)
(c) f(x) - 3f'(x)
to the highest order of accuracy possible using only the following function values.
i fi-2, fi-1, fi, fi+1, and fi+2
ii fi, fi+1, fi+2, fi+3, and fi+4
iii fi-4, fi-3, fi-2, fi-1, and fi
iv fi-1, fi, fi+1, fi-1, fi, and fi+1
1
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