Calculating uncertainty of a function in Mathematica

[Shukie]

I have a function of which I'm trying to determine the uncertainty. I'm using Mathematica and I can't get it to work. However, I don't see what I'm doing wrong. My uncertainty has the same value as the function itself, only a factor 10^7 higher. That is of course completely wrong, but I don't see where I'm going wrong. Could anyone please take a look?

http://home.orange.nl/~kuip3148/Differentieermethode.nb

 

[Dale]

Hi Shukie,

This is probably a little late, but your formula for the propagation of errors is wrong. Each term should be of the form SDx²(df/dx)² where SDx is the standard deviation of x. You calculate the (df/dx)² part of each term but never use the SDx² part. Also, you forgot to square the one for R.