find the local and global maxima and minima for the function x^3− 12x − 5 on x ∈ (−4,4) in matlab

main.m
syms x
f = x^3 - 12*x - 5;
f_prime = diff(f);

% Find the critical points by solving f'(x) = 0
critical_points = solve(f_prime, x);

% Evaluate the function at the critical points and endpoints
all_points = [-4, 4, critical_points];
values = arrayfun(@(point) subs(f, x, point), all_points);

% Find the local minima and maxima
[local_minima, local_maxima] = findLocalMinMax(all_points, values);

% Find the global minima and maxima
global_minima = min(values);
global_maxima = max(values);

function [minima, maxima] = findLocalMinMax(points, values)
    minima = [];
    maxima = [];

    for i = 2:length(points)-1
        if values(i-1) > values(i) && values(i+1) > values(i)
            minima = [minima points(i)];
        elseif values(i-1) < values(i) && values(i+1) < values(i)
            maxima = [maxima points(i)];
        end
    end
end
852 chars
31 lines