How to return the lowest value of a for loop?

This is the problem I have to solve. I pretty much have it solved, I just need help returning a specific value in my for loop.

myminimum(f,a,b) which takes three inputs:

f: A function handle.

a: A real number.

b: A real number.

Note: You may assume that f(x) is a quadratic function and that a < b.

Does: Finds the minimum value of f(x) on [a, b] keeping in mind that this may occur either at the critical point (if the critical point is in [a, b]) or at one of the endpoints. You’ll probably want to use some if statements to check cases.

Returns: The minimum value of f(x) on [a, b].

This is my code:

function m=myminimum (f,a,b);

syms x;

v=subs(f(x),a);

vv=subs(f(x),b);

cv=subs(diff(f(x),0));

for t=(a:b);

    m=subs(f(x),t)

end

When I run the code it needs to return the lowest value that is found in the for loop. How do I get matlab to store the values of the for loop and then how do I tell matlab to return the lowest value that it stored?

Thanks

Answer 1

[Star Strider]

I would tweak the loop to:

m_min = Inf;
for t=(a:b);

      m=subs(f(x),t);
      m_min = min(m_min, m);

end