Use Richardson extrapolation to find an improved estimate for the first derivative of y = cos x at x =π/4 using step sizes of h1 = π/3 and h2 = π/6. Employ centered differences of O(h2) for the initial estimates. Discuss from your results the effect of using Richardson extrapolation on the error of using centered differences.

Use Richardson extrapolation to find an improved estimate for the first derivative of y = cos x at x =π/4 using step sizes of h1 = π/3 and h2 = π/6. Employ centered differences of O(h2) for the initial estimates. Discuss from your results the effect of using Richardson extrapolation on the error of using centered differences.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.CR: Chapter 6 Review

Problem 20CR

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