$($d$)($i$)$ Write below the equation of the general step of Newton$-$Raphson method specifically for the given problem.

$(5$ marks$)$

$($ii$)$ Implement the Newton$-$Raphson method for the given problem. Perform $N=10$ iterations starting with the initial guess $x_0=1.$

Your code should be flexible and able to work for general $N$ and $x_0.$

Your code should not use functions from Matlab Symbolic package, such as syms$,$ diff and dsolve. Implement your program in Matlab as a single file and save it with the name q$1\_2315885.$m

$(25$ marks$)$

$($iii$)$ Run your code and calculate the approximate solution after $N=10$ iterations.

Record the value with at least $10$ accurate significant digits. Use format long in Matlab to print numbers with high precision.