# my fminsearch function doesn't get the optimum values

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Jeremy Choo on 16 Oct 2021
Commented: Star Strider on 16 Oct 2021
I've tried to do a very simple problem by finding out the optimal x and y with x0 = 1, y0 = 1 for the function f (x, y) = 2xy +5x − 2x^2 −3y^2 +10.
I have no idea what I'm doing so I assumed x = x(1) and y = x(2) and did the function as follows:
function y = tut2(x)
y = 2*x(1)*x(2)+5*x(1)-2*x(1)^2-3*x(2)^2+10;
I then called the thing in the command window:
>> [x,fval] = fminsearch(@tut2,[1,1]), which should have given me x and y values of 3/2 and 1/2 respectively, which are the correct answers to the solution. However, they don't. May I know what went wrong in my coding? The fminsearch website told me to use x(1) and x(2) as the initial points, so why is the function not working?

Star Strider on 16 Oct 2021
The fminsearch function searches for a minimum. To get a maximum, negate the function —
[x,fval] = fminsearch(@(x)-tut2(x),[1,1])
x = 1×2
1.5000 0.5000
fval = -13.7500
function y = tut2(x)
y = 2*x(1)*x(2)+5*x(1)-2*x(1)^2-3*x(2)^2+10;
end
.
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Star Strider on 16 Oct 2021
As always, my pleasure!
.