of any Functions of Multinomials. 59 
“...m "...(m+i) 
Change every where c • into c * and take the fluent with 
59 
respect to this last. 
This is exactly the same rule as that given by M. Arbogast 
in p. 25 of his work. 
7. The method pursued in this paper, has a remarkable 
advantage over M. Arbog ast’s in what he calls inverse deriva~ 
tion ;* which I shall shew hereafter to be extremely useful in 
the expansion of double and triple, &c 3 multinomials. In the 
present case, of a simple one, we have, as was shewn at the 
end of Art. 3, 
fluxional coefficient of the latter , with respect to c , and at the 
same time depress , to the next lower order , all the fluxional coeffi - 
Thus from the coefficient of x s , which was found in Art. 3, 
we get 
1 
cents of f[c) that are in 
* See Note III. at the end. 
I 2 
2 
