Write a function to perform the Newton-Raphson method for any scalar nonlinear equation f(x) = 0. The inputs to your function should be: a function that calculates both f(x) and f'(r), an initial guess for the root, a convergence tolerance, and the maximum number of iterations. The function should output the calculated root and the number of iterations. Use Ef as your only measure of the error. Thoroughly comment your code to show you know what you are doing.