How to calculate the order of an infinitesimal

1. Aug 9, 2011

NBagley119

I know how to find out if an infinitesimal delta is of the first order (if delta*y/delta*x=dy/dx+epsilon is approximately equal to (dy/dx)*delta*x, but how do you find out if an infinitesimal is of second order or higher and how do you find out what that order is?

Note: I will update this question with typesetting once I figure out how to use LaTeX.

Last edited: Aug 9, 2011
2. Aug 10, 2011

Eynstone

The order of an 'infinitesimal' is always relative.

3. Aug 11, 2011

NBagley119

Relative to what? And how do you find the order?

4. Aug 11, 2011

NBagley119

I know how to find out if an infinitesimal delta is of the first order (if $\frac{\delta y}{\delta x}$=$\frac{dy}{dx}$+$\epsilon\approx$$\frac{dy}{dx}$$\delta$x, but how do you find out if an infinitesimal is of second order or higher and how do you find out what that order is?