Using the three-point midpoint formula, find the approximate value of the fist derivative of f(x)= xe at x=2 with h=0.1. Also, determine the approximation error.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Using the three-point midpoint formula, find the approximate value of the fist derivative of
f(x) = xe* at x=2 with h=0.1. Also, determine the approximation error.
Use three decimal places in your solutions if exist.
1
*f'(x) =
=
[f(xo + h) — f(xo - h)] − 2² ƒ(³) (61)
2h
Transcribed Image Text:Using the three-point midpoint formula, find the approximate value of the fist derivative of f(x) = xe* at x=2 with h=0.1. Also, determine the approximation error. Use three decimal places in your solutions if exist. 1 *f'(x) = = [f(xo + h) — f(xo - h)] − 2² ƒ(³) (61) 2h
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