> restart;
> G := S*w0^2*b^2*(d^2+0.4*r^2)/(4*L*m*d);

                                 2  2   2       2
                             S w0  b  (d  + .4 r )
                    G := 1/4 ---------------------
                                     L m d

> eval(G, [S = 0.0032, b = 0.0452, d = 0.0665, r = 0.0068, w0 = 0.03891, m = 0.918, L = 1.679]);

                                         -9
                           .1072087491 10

> dS := eval(diff(G, S), [S = 0.0032, b = 0.0452, d = 0.0665, r = 0.0068, w0 = 0.03891, m = 0.918, L = 1.679])^2*(0.0004^2);

                                           -21
                       dS := .1795893107 10

> db := eval(diff(G, b), [S = 0.0032, b = 0.0452, d = 0.0665, r = 0.0068, w0 = 0.03891, m = 0.918, L = 1.679])^2*(0.004^2);

                                           -21
                       db := .3600506192 10

> dd := eval(diff(G, d), [S = 0.0032, b = 0.0452, d = 0.0665, r = 0.0068, w0 = 0.03891, m = 0.918, L = 1.679])^2*(0.002^2);

                                           -22
                       dd := .1022377759 10

> dr := eval(diff(G, r), [S = 0.0032, b = 0.0452, d = 0.0665, r = 0.0068, w0 = 0.03891, m = 0.918, L = 1.679])^2*(0.0001^2);

                                           -27
                       dr := .1724830370 10

> dw := eval(diff(G, w0), [S = 0.0032, b = 0.0452, d = 0.0665, r = 0.0068, w0 = 0.03891, m = 0.918, L = 1.679])^2*(0.00007^2);

                                           -24
                       dw := .1487969629 10

> dm := eval(diff(G, m), [S = 0.0032, b = 0.0452, d = 0.0665, r = 0.0068, w0 = 0.03891, m = 0.918, L = 1.679])^2*(0.0001^2);

                                           -27
                       dm := .1363876654 10

> dL := eval(diff(G, L), [S = 0.0032, b = 0.0452, d = 0.0665, r = 0.0068, w0 = 0.03891, m = 0.918, L = 1.679])^2*(0.012^2);

                                           -24
                       dL := .5871128116 10

> dS+db+dd+dr+dw+dm+dL;

                                        -21
                          .5505999262 10

> dG := sqrt(%);

                                           -10
                       dG := .2346486578 10

>