Use forward and backward difference approximations of O (h) and a centered difference approximation of O (h²) to estimate the first derivative of sin(0.5,√7) f(x) = Evaluate the derivative at z = 1.5 using a step size of h = 0.2. Compare your results with the true value of the derivative by computing the Et. (Note: Round off your approximations to 8 decimal places. Percentage errors must be rounded off to 3 decimal places.)
Use forward and backward difference approximations of O (h) and a centered difference approximation of O (h²) to estimate the first derivative of sin(0.5,√7) f(x) = Evaluate the derivative at z = 1.5 using a step size of h = 0.2. Compare your results with the true value of the derivative by computing the Et. (Note: Round off your approximations to 8 decimal places. Percentage errors must be rounded off to 3 decimal places.)
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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Transcribed Image Text:Use forward and backward difference approximations of O (h) and a centered difference approximation of O (h²) to estimate the first derivative of
sin(0.5√/F)
f(x) =
Evaluate the derivative at x = 1.5 using a step size of h = 0.2. Compare your results with the true value of the derivative by computing the Et. (Note: Round off your approximations to 8 decimal places. Percentage errors
must be rounded off to 3 decimal places.)
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