Consider the function $f(x)=4x^3-9e^{7x}.$ Now answer the following:

a$)(3$ marks$)$ Compute $D_{0\mathrm{.}2}^{(1)}$ at $x=2\mathrm{.}7$ using Richardson extrapolation method up to $4$

significant figures.

b$)(2$ marks$)$ Compute $D_{0\mathrm{.}2}^{(2)}$ at $x=2\mathrm{.}7$ using Richardson extrapolation method up to $4$

significant figures.