MATLAB: How to find maximum of a multivariable function using max()

Question

How to find maximum of a multivariable function using max(). Let's denote z = (y+cos(y))/(x^2) for x,y belonging to [1,15].

Answer 1

You can use fmincon function to find maximum value

z = @(x,y) (y+cos(y))./(x.^2);
sol = fmincon(@(x) -z(x(1),x(2)), 10*rand(2,1), [], [], [], [], [1;1], [15;15]);
x_sol = sol(1);
y_sol = sol(2);