Collected papers by James Joseph Sylvester, edited by Henry Frederick Baker, credited as H. F. Baker in the prefatory note dated April 1904. Cambridge University Press published Volume I in 1904. The collection date is distinct from the original dates of its individual papers. Internet Archive hosts the inspected digitized volume and OCR text.
Paper 9 by James Joseph Sylvester, reprinted on pp. 54–57 in The Collected Mathematical Papers of James Joseph Sylvester, Volume I. The reprint identifies the original publication as Philosophical Magazine XVI (1840), 132–135. Henry Frederick Baker edited the collection; he is not credited as author of this paper.
Cited passages: paper 9, printed pp. 54–55, rules 1–4, shifted coefficient rows and the permutation sign sum. The historical word derivatives in the title is not used here to mean differentiation in calculus. The title page and prefatory note establish the separate 1904 collection date.

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