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Q5 For a given equation, f(x) = xe* (a) Compute the derivative at x = 2 using forward, backward and centered finite divided difference to estimate the first derivative using step size of h = 0.2 and 0.4. (b) Based on your results of Q5(a), illustrate the effect of step size on the accuracy of results.

Q5 For a given equation, f(x) = xe* (a) Compute the derivative at x = 2 using forward, backward and centered finite divided difference to estimate the first derivative using step size of h = 0.2 and 0.4. (b) Based on your results of Q5(a), illustrate the effect of step size on the accuracy of results.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Q5 For a given equation, f(x) = xe* (а) Compute the derivative at x = 2 using forward, backward and centered finite divided difference to estimate the first derivative using step size of h = 0.2 and 0.4. (b) Based on your results of Q5(a), illustrate the effect of step size on the accuracy of results.
Transcribed Image Text:Q5 For a given equation, f(x) = xe* (а) Compute the derivative at x = 2 using forward, backward and centered finite divided difference to estimate the first derivative using step size of h = 0.2 and 0.4. (b) Based on your results of Q5(a), illustrate the effect of step size on the accuracy of results.
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