Quotient rule

By minimizing the error between b ) and the b simultaneously, which are respectively the intercept and the slope of the graph, one can find the best fit for the calculated data points. In (18.3), w, is the weight of the point on the line determined from the error bars in each isothermal-isobaric simulation. For the propagation of error, and in particular, by using the uncertainty in sums and differences and the uncertainty in products and quotients rules, the intersection of the lines, x, can be shown to be ... 

Consider now the differential coefficient of G/T with respect to temperature T at constant pressure, P. G/T if considered as a quotient can be differentiated according to the Quotient Rule (Frame 3, Table 3.1) so that ... 

Differential equations for the densities can be derived by applying the quotient rule — j, to and using equation (8) to eliminate dV/dt to obtain... 

We next use the quotient rule to find the derivative dVi jAx, remembering that we are doing a reduction and so E = Ejnit — vf, as in Problem 7.14 ... 

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