implement your own newton-raphson iteration with a tolerance condition in matlab

main.m
f = @(x) x^3 - 2*x - 5;
df = @(x) 3*x^2 - 2;
x0 = 2;
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main.m
tol = 1e-6;
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main.m
max_iter = 100;
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main.m
for iter = 1:max_iter
    % Evaluate the function and its derivative at the current x
    fx = f(x0);
    dfx = df(x0);
  
    % Compute the new x value using the Newton-Raphson formula
    x1 = x0 - fx/dfx;
  
    % Check if the tolerance condition is met
    if abs(x1 - x0) < tol
        break % exit the loop if the tolerance condition is met
    end
  
    % Update the value of x0 for the next iteration
    x0 = x1;
end
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main.m
fprintf('The root is %f after %d iterations.\n', x1, iter);
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