X 0 0.2 0.3 0.1 0.9048 0. 0.6073 f(x) 1 0.8187 0.7408 Find f '(x) and f "(x) at x = 0 using finite difference approximation of O(h²). (Hint: you have to choose the appropriate method based on O(h²) and the data point available).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.2: Integration By Parts
Problem 41E
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Question
X
0
0.2
0.3
0.1
0.9048
0.
0.6073
f(x)
1
0.8187 0.7408
Find f '(x) and f "(x) at x = 0 using finite difference approximation
of O(h²). (Hint: you have to choose the appropriate method based
on O(h²) and the data point available).
Transcribed Image Text:X 0 0.2 0.3 0.1 0.9048 0. 0.6073 f(x) 1 0.8187 0.7408 Find f '(x) and f "(x) at x = 0 using finite difference approximation of O(h²). (Hint: you have to choose the appropriate method based on O(h²) and the data point available).
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