Question

Given: x = -0.4000 -0.3000 -0.2000 -0.1000 0 0.1000 0.2000 0.3000 0.4000

y = 0.449329 0.54881 0.67032 0.81873 1.000 1.22140 1.49182 1.82212 2.22554

The above data was obtained from the function y = e^(2x)

1. Use central difference formula to compute y’(0). Find the maximum and

minimum estimates of the error, and compare them to the actual error.

2. Use Richardson’s extrapolation technique to get y’(0) to an O(0.1^6) accuracy

using central difference.

Answer 1

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