need Write a matlab function that performs Newton's Method for a given function f(x): function [x, N, En] = MyNewtonMethod(f, df, x1, tol, M) Your...
Question

# need Write a matlab function that performs Newton's Method for a

given function f(x): function [x, N, En] = MyNewtonMethod(f, df, x1, tol, M) Your function should take in: a function f, the function's derivative df, an initial guess x1, a desired error tolerance tol, and a maximum number of iterations M. It should output a vector x containing the computed approximate roots from all iterations, the number of iterations N performed, and a vector containing the errors En = |xn − xn−1| from all iterations (let E0 = 0). The convergence criterion for your code is given by the condition |xn − xn+1| &lt; tol, where tol is a given tolerance. Since Newton's Method is a fixed point method, it is recommended that you look at your fixed point code from Lab 3 to get a quick start. Use your code to find the root of f(x) = 2x 3 + 5x 2 + 3x − 2, with a tolerance of 10−10 and a maximum number of iterations of 50. Use an initial guess of x = 10. Display your results in a table with three columns: the iteration number n, the approximated root xn, and the approximated error En, for each iteration.

2. Use your Newton's method function to find the zero of f(x) = sin(x) + 1 − x with a tolerance of 10^−8 and a max number of iterations of 50 with the following instructions: ?

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