i have the formula for error propogation: =[((/x)x) 2 +((/y)y) 2 ] 1/2 /(x or y)

Question

i have the formula for error propogation:

=[((/x)x)2+((/y)y)2]1/2

/(x or y)    is supposed to be a partial derivative dont know if i used the right symbols.

but im supposed to use this equation to come up with error propogation formulas for individual experiments. and im not sure how to do partial derivatives in this case.

can someone do an example where lets say the problem is with these variables

= m/M
x=m

y=M

fractional uncertanties in the values m and M are 0.14 and 0.12. it has to do with an experiment involving elastic collision and were looking for the fractional uncertainty in the value of m/M?   But i really just need help on how to do the partial derivative parts?????

Explanation / Answer

B=m/M so that dB/B=dm/m-dM/M. so that ?B/B=sqrt((?m/m)^2+(?M/M)^2) so ?B=B*sqrt((?m/m)^2+(?M/M)^2)

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