Consider the function f$($x$)=$ x In$($x$).$ Now answer the following:$($a$)(2$ marks$)$ Evaluate the numerical derivative of f$($x$)$ at x $=1\mathrm{.}0$ with step size h $=0\mathrm{.}1$ using theforward and central difference methods up to $5$ significant figures.$($b$)(4$ marks$)$ Compute the upper bound of the truncation error of f$($x$)$ at x $=1\mathrm{.}0$ using h $=0\mathrm{.}1$ forthe backward and central difference methods up to $5$ significant figures.$($c$)(4$ marks$)$ Deduce an expression