Derive the formula in Prob 29 from (14) Data from Prob 29 The derivative f '(x) can also be approximated in terms of first order and higher order differences Compute f '(0 4) in Prob 27 from this formula, using differences up to and including first order, second order, third order, fourth order Dat...

Differentiating 14 in Sec 193 with ...

Derive the formula in Prob. 29 from (14) Data from Prob. 29 The derivative f'(x) can also

Question:

Derive the formula in Prob. 29 from (14)

Data from Prob. 29

The derivative f'(x) can also be approximated in terms of first-order and higher order differences.

(4fo-% f'(xo) - I,v² - %v +

Compute f'(0.4) in Prob. 27 from this formula, using differences up to and including first order, second order, third order, fourth order.

Data from Prob. 27

Consider f(x) = x⁴ for x₀ = 0, x₁ = 0.2, x₂ = 0.4, x₃ = 0.6, x₄ = 0.8. Calculate f'₂from (14a), (14b), (14c), (15). Determine the errors. Compare and comment.

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Advanced Engineering Mathematics

ISBN: 978-0470458365

10th edition

Authors: Erwin Kreyszig

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Question Posted: Dec 24, 2018 06:39 AM

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Derive the formula in Prob. 29 from (14) Data from Prob. 29 The derivative f'(x) can also

Question:

(4fo-% f'(xo) - I,v² - %v +

Step by Step Answer:

Differentiating 14 in Sec 193 with ...View the full answer

Advanced Engineering Mathematics

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