Propagation of Error Formulae
 
Reference--Ku, Precision Measurement & Calibration
           NBS, SP 300, page 337.
 
Question--If Y has standard deviation sd(Y),
          and if Y is transformed via T(Y),
          then what is the standard deviation of T(Y)?
 
Answer--sd(T(Y)) approximately = sd(Y) * T'(Y)
 
T(Y)              sd(T(Y))
----------------------------
1/Y               sd(Y) * (1/Y**2)
log(Y)            sd(Y) * (1/Y)
sqrt(Y)           sd(Y) * (1/(2*sqrt(Y)))
Y (no trans.)     sd(Y)
Y**2              sd(Y) * (2*Y)
exp(Y)            sd(Y) * exp(Y)