Compute the estimation of the derivative of sin(x) at x = 4 (a) Forward difference approximation O(h) Et% 0(h²) Et% (b) Backward difference approximation O(h) O(h²) Et% Et% (c) Central difference approximation O(h²) Et% O(h¹) Et% using value of h = 77 14 Estimate the true percent relative error E, for each approximation (six-decimal accuracy).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Compute the estimation of the derivative of sin(x) at x =
(a) Forward difference approximation
O(h)
Et%
O(h²)
Et%
(b) Backward difference approximation
O(h)
O(h²)
Et%
Et%
(c) Central difference approximation
O(h²)
Et%
0(h4)
Et%
using value of h=
ㅠ
. Estimate the true percent relative error E, for each approximation (six-decimal accuracy).
14
Transcribed Image Text:Compute the estimation of the derivative of sin(x) at x = (a) Forward difference approximation O(h) Et% O(h²) Et% (b) Backward difference approximation O(h) O(h²) Et% Et% (c) Central difference approximation O(h²) Et% 0(h4) Et% using value of h= ㅠ . Estimate the true percent relative error E, for each approximation (six-decimal accuracy). 14
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