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Using five significant figures in the computations, determine d(sin x)/dx at x = 0.8 from (a) the first forward difference approximation and (b) the first central difference approximation. In each case, use h that gives the most accurate result (this requires experimentation).

Using five significant figures in the computations, determine d(sin x)/dx at x = 0.8 from (a) the first forward difference approximation and (b) the first central difference approximation. In each case, use h that gives the most accurate result (this requires experimentation).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Using five significant figures in the computations, determine d(sin x)/dx at x = 0.8 from (a) the first forward difference approximation and (b) the first central difference approximation. In each case, use h that gives the most accurate result (this requires experimentation).
Transcribed Image Text:Using five significant figures in the computations, determine d(sin x)/dx at x = 0.8 from (a) the first forward difference approximation and (b) the first central difference approximation. In each case, use h that gives the most accurate result (this requires experimentation).
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