The derivative f'(x) can also be approximated in terms of first-order and higher order differences. Compute f'(0.4)
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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.
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'2 from (14a), (14b), (14c), (15). Determine the errors. Compare and comment.
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ANSWER To approximate the derivative f04 using differences we can use the following formulas Firstor...View the full answer
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