/sci/ - Science & Math

>>11598524
>the lowest point on the curve
the lowest point on the curve is [math]-\infty[/math] as long as the coefficient of the linear term is non-zero. I guess you must be looking for a [math]\textit{local}[/math] minimum, but there are many local minimums (see pic related, vertical line is at x=arccos(-c)) so you have to think about what range you need to be in.
It's most certainly possible to find the minimum within a certain range, but you'll have to tell us what the range is.