Write a MATLAB script to find one root of the following equation between $0$ and $1,$ with a maximum number of $100$ steps and a tolerance of ${10}^{-6}.$

$h(x)=e^{-x}-x^2-x$

For information about using the Newton$-$Raphson Method, reffer to slides $1-18$ of Module$\_02.$

Script ${?}^{o.}$

$\%$ Here, write your script for the problem statemenet above. Your script MUST be properly and completely commented to receive full credit.

$\%$ Define variables and functions as instructed below.

$\%$ The anonymous functions for $f(x),df\frac{x}{d}x,$ and $d^{2}f\frac{x}{d}{x}^2$ must be named: $h,dhdx,$ and $dh2dx2,$ respectively.

$\%$ The anonymous fuynctions for $g(x)$ and $dg\frac{x}{d}x$ must be named: $g$ and $dgdx,$ respectively.

$\%$ Store the initial solution in an array variable named ini$\_$x$.$

$\%$ The variable for the maximum number of iterations must be called max$\_$itr.

$\%$ Use a variable called iter to count your iterations inside the loop.

$\%$ Use a variable called Tol to determine the tolerance for the calculations.

$\%$ Define a variable called Cnv to check if your calculations are converging inside the loop.

$\%$ After the solution is completed, print out the root using the fprintf command in the following format:

$\%$ Root: $\{$tab$\}12\mathrm{.}3456\{$next line$\}$

$\%$ Note that MATLAB is case$-$sensitive$.$ Variables MUST be defined as instructed above, or points will be deducted.

$\%$ For this exercise, you need a while$-$loop only.