1. Given the following data, 0.398 0.399 0.400 0.401 0.402 f(x) 0.408591| 0.409671 0.410752 0.411834 0.412915 find the first derivative f'(x) at the point x = 0.399. (a) Use the three-point forward difference formula. (b) Use the two-point central difference formula.

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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Instruction: Answer the following questions without using GNU Octave (By
hand calculations).
1. Given the following data,
0.398
0.399
0.400
0.401
0.402
f(x) 0.408591| 0.409671|0.410752 0.411834 0.412915
find the first derivative f'(x) at the point x = 0.399.
(a) Use the three-point forward difference formula.
(b) Use the two-point central difference formula.
Transcribed Image Text:Instruction: Answer the following questions without using GNU Octave (By hand calculations). 1. Given the following data, 0.398 0.399 0.400 0.401 0.402 f(x) 0.408591| 0.409671|0.410752 0.411834 0.412915 find the first derivative f'(x) at the point x = 0.399. (a) Use the three-point forward difference formula. (b) Use the two-point central difference formula.
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