In the main text we used Richardson extrapolation in order to re-derive a second forwarddifference formula for the first derivative, see Eq XXXXXXXXXXDo the same (i.e., don’t use Taylor series) for...

In the main text we used Richardson extrapolation in order to re-derive a second forwarddifference formula for the first derivative, see Eq. (3.49). Do the same (i.e., don’t use Taylor series) for the third forward difference for the first derivative. 14. In the main text we derived a second central-difference formula for the first derivative in two distinct ways, using Taylor series and using Richardson extrapolation. Correspondingly derive a second central-difference formula for the second derivative