how to find the extremum in matlab

main.m
% Define the function to minimize
fun = @(x) x(1)^2 + x(2)^2;

% Set the initial guess
x0 = [1, 1];

% Call fminsearch to find the minimum
[xmin, fval] = fminsearch(fun, x0);

% Print the results
fprintf('Minimum found at x = [%.4f, %.4f] with a value of %.4f\n', xmin(1), xmin(2), fval);
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12 lines

main.m
% Define the function and constraint
fun = @(x) x(1)^2 + x(2)^2;
nonlcon = @(x) x(1) + x(2) - 1;

% Set the initial guess
x0 = [1, 1];

% Set the bounds for the variables
lb = [-inf, -inf];
ub = [inf, inf];

% Call fmincon to find the minimum
[xmin, fval] = fmincon(fun, x0, [], [], [], [], lb, ub, nonlcon);

% Print the results
fprintf('Minimum found at x = [%.4f, %.4f] with a value of %.4f\n', xmin(1), xmin(2), fval);
423 chars
17 lines