A formula of order 4 for approximating the first derivative of a function f gives: f'(0) = 1.0982 for h = 1 f'(0) z 1.0078 for h = 0.5 By using Richardson's extrapolation on the above values, a better approximation of f'(0) is: 1.00177 This option 1.93645 This option

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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A formula of order 4 for approximating the first derivative of a function f gives:
f'(0) = 1.0982 for h = 1
f'(0) z 1.0078 for h = 0.5
By using Richardson's extrapolation on the above values, a better approximation
of f'(0) is:
1.00177
This option
1.93645
This option
Transcribed Image Text:A formula of order 4 for approximating the first derivative of a function f gives: f'(0) = 1.0982 for h = 1 f'(0) z 1.0078 for h = 0.5 By using Richardson's extrapolation on the above values, a better approximation of f'(0) is: 1.00177 This option 1.93645 This option
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