I have a data set, and I am fitting it with an nth order polynomial. My fit has associated standard error with the constants, eg.:
$y = a + bx + cx^2$
a +/- da
b +/- db
c +/- dc
Using my polynomial I am finding the maximum of my data set, and getting the associated x value. I'm trying to find the error associated with that x value due to the uncertainty of the fit.
Any help would be most appreciated!