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In parts a) to d), use the appropriate differentiation formula, obtained from Taylor's Theorem, to estimate the value of the indicated derivative. Let f(x) = x*, xo = 2 and h = 1. Then, f' (ro) = and f"(xo) Furthermore, a) i) the forward difference formula gives f'(xo) 2

In parts a) to d), use the appropriate differentiation formula, obtained from Taylor's Theorem, to estimate the value of the indicated derivative. Let f(x) = x*, xo = 2 and h = 1. Then, f' (ro) = and f"(xo) Furthermore, a) i) the forward difference formula gives f'(xo) 2

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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In parts a) to d), use the appropriate differentiation formula, obtained from Taylor's Theorem, to estimate the value of the indicated derivative. Let f(x) = x*, xo = 2 and h = 1. Then, f' (ro) = and f" (xo) = Furthermore, a) i) the forward difference formula gives f'(xo) 2
Transcribed Image Text:In parts a) to d), use the appropriate differentiation formula, obtained from Taylor's Theorem, to estimate the value of the indicated derivative. Let f(x) = x*, xo = 2 and h = 1. Then, f' (ro) = and f" (xo) = Furthermore, a) i) the forward difference formula gives f'(xo) 2
ii) the absolute error in this approximation is b) i) the backward difference formula gives f'(x0) ii) the absolute error in this approximation is c) i) the central difference formula gives f'(xo) 2 ii) the absolute error in this approximation is
Transcribed Image Text:ii) the absolute error in this approximation is b) i) the backward difference formula gives f'(x0) ii) the absolute error in this approximation is c) i) the central difference formula gives f'(xo) 2 ii) the absolute error in this approximation is
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