Week 3.5 - Deriving 4th order approximation of a 2nd order derivative using Taylor Table method

By seeing the graph we can say that, when the value of dx decreases the absolute error also decreases.

If we further reduce the value of dx the ansolute error might increase because sometimes we round of the coefficients which may further increase the value of absolute error.

In this graph we can see that the least error we are getting is in cenral difference compared to right and left skewed. The value of right and left skewed error are close where left skewed error is slightly larger than right skewed.