Solved: Estimate the error by halving.In Prob. 6
Chapter 19, Problem 19.1.97(choose chapter or problem)
A "four-point formula" for the derivative is
\(f_{2}^{\prime} \approx \frac{1}{6 h}\left(-2 f_{1}-3 f_{2}+6 f_{3}-f_{4}\right)\)
Apply it to \(f(x)=x^{4}\) with \(x_{1}, \cdots, x_{4}\) as in Prob. 27 , determine the error. and compare it with that in the case of (15)
Text Transcription:
f_{2}’ approx 1 / 6 h (-2f_1 - 3f_2 + 6f_3 - f_4)
f(x) = x^4
x_1, cdots, x_4
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