I need it in MatLab Code. Show all work. Will thumbs up$.$

$[25p]$

The first derivative $\frac{df(x)}{dx}$ of a function $f(x)$ at a point $x=x_0$ can be approximated with the two$-$point central difference formula:

$\frac{df(x)}{dx}=\frac{f(x_0+h)-f(x_0-h)}{2h}$

where $h$ is a small number relative to $x_0.$ Write a user$-$defined function function $($see Section $7\mathrm{.}9)$ that calculates the derivative of a math function $f(x)$ by using the two$-$point central difference formula. For the user$-$defined function name, use $dfdx=$Funder$(Fun,x0),$ where Fun is a name for the function that is passed into Funder, and $x0$ is the point where the derivative is calculated. Use $h=\frac{x_0}{100}$ in the two$-$point central difference formula. Use the user$-$defined function Funder to calculate the following:

$($a$)$ The derivative of $f(x)=x^3{e}^{2x}$ at $x_0=0\mathrm{.}6$

$($b$)$ The derivative of $f(x)=\frac{3^x}{x^2}$ at $x_0=2\mathrm{.}5$

In both cases compare the answer obtained from Funder with the analytical solution $($use format long$).$