solve the equation sin2x+4cosx=x using newtons method, find the smallest equations root with preccision of 10^-4 in matlab

main.m
syms x
f = sin(2*x) + 4*cos(x) - x;
f_prime = diff(f, x);
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main.m
x0 = 0;  % Initial guess
precision = 1e-4;  % Desired precision
max_iterations = 100;  % Maximum number of iterations
x_approx = x0;
for i = 1:max_iterations
    f_val = subs(f, x, x_approx);
    f_prime_val = subs(f_prime, x, x_approx);
    x_approx = x_approx - f_val / f_prime_val;  % Newton's method formula
    if abs(f_val) < precision
        break;
    end
end
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main.m
x_approx
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