Full text: The collected mathematical papers of Arthur Cayley, Sc.D., F.R.S., sadlerian professor of pure mathematics in the University of Cambridge (Vol. 4)

274 
ADDITION TO THE MEMOIR ON AN EXTENSION 
The derivatives of any power of d are given by those of the indefinite power d"\ 
which, omitting therein the several powers of d, may be tabulated thus. I remark that 
the table is carried up to the column 21 in order that it may be applicable to the 
calculation of the literal terms of the degree 15 and weight 45 which belong to the 
highest invariant of the sextic. 
Subsidiary Table of the Derivatives of d m . 
1 1 2 3 4 5 7 8 10 12 14 16 19 
01234567 8 9 10 11 12 
21 
22 
23 
24 
25 
26 
27 
28 
29 
30 
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40 
41 
42 
43 
44 
45 
46 
21 
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14 
27 
15 
30 
16 
33 
17 
37 
18 
40 
19 
44 
20 
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