Q.21 Given the following set of discrete data: 0.2 1.0832 0.3 0.4 0.7 y 1.1972 1.3771 2.6644 Find the approximate value of f'(0.4) using all the appropriate difference formulas. Check your solution with f(x)= e2²x². Which method gives better approximation? X 0.4 1.6487 0.6 2.0544

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Q.21 Given the following set of discrete data:
0.2
1.0832
0.3
0.4
y
1.1972
1.3771
Find the approximate value of f'(0.4) using all the appropriate difference formulas.
solution with f(x) = ²x². Which method gives better approximation?
Check
X
0.4
1.6487
your
0.6
2.0544
0.7
2.6644
Transcribed Image Text:Q.21 Given the following set of discrete data: 0.2 1.0832 0.3 0.4 y 1.1972 1.3771 Find the approximate value of f'(0.4) using all the appropriate difference formulas. solution with f(x) = ²x². Which method gives better approximation? Check X 0.4 1.6487 your 0.6 2.0544 0.7 2.6644
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