# Propagation of Error

## Introduction

The error, f, in a final result, F, derives from the error in each measurement or number (x, y,...) used to get that result. The error in a result, F±f, for F = *f*(x,y,...) is found from:

f = (*d*F/*d*x) e_{x} + (*d*F/*d*y) e_{y} + ...

where *d*F/*d*x is the partial derivative of F with respect to x, and e_{x} is the uncertainty in x.

## Related topics:

Copyright © 2000 by Brian M. Tissue, all rights reserved.