Exercise 6 Consider the following table of data: 0.2 0.4 0.6 0.8 1.0 f(x) 0.9798652 0.9177710 | 0.8080348 | 0.6386093 | 0.3843735 (a) Use a five-point formula to approximate f'(0.2). (b) Use a five-point formula to approximate f'(1.0). (c) Use a five-point formula to approximate f'(0.6).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Exercise 6 Consider the following table of data:
0.2
0.4
0.6
0.8
1.0
f(x) 0.9798652 0.9177710 | 0.8080348 | 0.6386093 | 0.3843735
(a) Use a five-point formula to approximate f'(0.2).
(b) Use a five-point formula to approximate f'(1.0).
(c) Use a five-point formula to approximate f'(0.6).
Transcribed Image Text:Exercise 6 Consider the following table of data: 0.2 0.4 0.6 0.8 1.0 f(x) 0.9798652 0.9177710 | 0.8080348 | 0.6386093 | 0.3843735 (a) Use a five-point formula to approximate f'(0.2). (b) Use a five-point formula to approximate f'(1.0). (c) Use a five-point formula to approximate f'(0.6).
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