Error Propagation

raz23

1. The problem statement, all variables and given/known data
I was wondering if I did this right. I have to take the partial derivative of the equation below. N is an integer number having no uncertainty.


2. Relevant equations
F_c= (4pi²mn²r)/(T²)


3. The attempt at a solution
This is what I got as an answer with first respect to m, then r, then T, then n:
σ²_Fc = ((4pi²n²r)/(T²)² σ²_m + ((4pi²mn²)/(T²)² σ²_r + ((-8pi²mn²r)/(T³)² σ²_T + ((8pi²mnr)/(T²))²