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The error, f, in a final result, F, derives from the error in each measurement or number (x, y,...) used to get that result. The error in a result, F±f, for F = f(x,y,...) is found from:
f = (dF/dx) ex + (dF/dy) ey + ...
where dF/dx is the partial derivative of F with respect to x, and ex is the uncertainty in x.
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