Solve this derevative using C$++$

Compute the first and second derivative of the following function at $2$ points in the specified intervalsf$($x$)=$x$2$cosx; x$=[0,4]$;h$=[0\mathrm{.}5,0\mathrm{.}25,0\mathrm{.}125]$using $($i$)$ Forward difference $($ii$)$ Backward difference $($iii$)$ Central difference $($iv$)$ Richardson extrapolation and compare them with the analytic results.