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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