Optimization. Find two positive numbers whose Product is 100 and whose Sum is a Minimum.

Thanks for watching!
JaberTime

[ptarcher]

Alternatively, you can just do the sqrt(100), as by definition, the sum is minimized by the smallest two factors (which is the sqrt).

[Steven-vl]

f(x) = x +100/x; f'(x) = 1 -100/x^2 ... which is zero when x=10 ;
f"(x) = 200/x^3 ; which >0 for x>0 ... so f() has a minimum at x=10.

No "sampling" of f() or f'() near 10 is necessary (or even *fun*).
So unless producing a graph was part of the problem ... why bother?