Develop a well$-$documented and structured MatLab code which allows solving for the roots of non$-$linear equations using the Newton$-$Raphson algorithm.

Requirements:

$(1)$ Handles when a division by zero is present in the derivative and detects when the solution is diverging. Provides warnings to the user as appropriate.

$(2)$ Allows the user to set the threshold for acceptable error as a percentage between $0\mathrm{.}001\%$ and $2\%.$

$(3)$ Automatically generates a plot to graphically show the progression towards the root on each iteration.

$(4)$ Enables a relaxation parameter to be set by the user and is implemented in the iterative solution approach.

please include explanation