How Does Standard Error Change When Inverting a Variable?

[n0_3sc]

A quantity 'X' has a standard error 's' if 'X' is inverted ie. X^-1
what do I do with 's'?

 

[andrevdh]

The std error $s_Y$ in
$$Y=1/X$$
will be
$$s\frac{1}{X^2}$$