$2.$ Numerical Differentiation $/$ Normal Derivative The measured temperature distribution in a solar energy heating system may be represented by the equation T$($x$)=15\mathrm{.}5+68\mathrm{.}2"1$ exp$($x$/2\mathrm{.}7)1+$ x $2$ # $(2)$ where x is the distance away from the surface being heated and T is the temperature. $($a$)$ Compute dT $/$dx at x $=0$ using forward difference of O$[($x$)2].($b$)$ Compute d $2$T $/$dx$2$ at x $=0$ using forward difference of O$[($x$)2].$ Use a step size of $0\mathrm{.}1,0\mathrm{.}01,$ and $0\mathrm{.}001.$ Summarize your answers in a table with rows corresponding to the two formulae and columns corresponding to the three step sizes.