create a function that will perform newton's method in matlab

main.m
function [root, iter] = newtonsMethod(f, df, x0, tol, max_iter)
% Inputs:
%   f: function handle of the equation
%   df: function handle of the derivative of the equation
%   x0: initial guess
%   tol: tolerance value for convergence
%   max_iter: maximum number of iterations
% Outputs:
%   root: the root of the equation
%   iter: number of iterations

% Initialize variables
iter = 0;
x = x0;

% Perform iterations until convergence or maximum iterations reached
while abs(f(x)) > tol && iter < max_iter
    x = x - f(x)/df(x); % Perform Newton's method update
    iter = iter + 1;
end

root = x;

end
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main.m
f = @(x) x^2 - 4;
df = @(x) 2*x;
x0 = 2;
tol = 1e-6;
max_iter = 100;

[root, iter] = newtonsMethod(f, df, x0, tol, max_iter);

disp(root); % Display the root
disp(iter); % Display the number of iterations
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