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] [Backwards difference approximation of first derivative] Using Taylor's theorem, in lecture we derived the forward difference ap- oximation to the first derivative. In a similar fashion, derive the backwards fference approximation f(xo)-f(xo-h) 1 = f'(x) = ²h f"(E)

] [Backwards difference approximation of first derivative] Using Taylor's theorem, in lecture we derived the forward difference ap- oximation to the first derivative. In a similar fashion, derive the backwards fference approximation f(xo)-f(xo-h) 1 = f'(x) = ²h f"(E)

Calculus For The Life Sciences
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.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 7CR
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Taylor's theorem

[3] [Backwards difference approximation of first derivative] Using Taylor's theorem, in lecture we derived the forward difference ap- proximation to the first derivative. In a similar fashion, derive the backwards difference approximation f(xo) – f(xo - h) h assuming that f € C²([a, b]). = f'(xo) — 1/ h ƒ" (E)
Transcribed Image Text:[3] [Backwards difference approximation of first derivative] Using Taylor's theorem, in lecture we derived the forward difference ap- proximation to the first derivative. In a similar fashion, derive the backwards difference approximation f(xo) – f(xo - h) h assuming that f € C²([a, b]). = f'(xo) — 1/ h ƒ" (E)
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