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The curious history of Faà di Bruno’s formula. (English) Zbl 1024.01010
Faà di Bruno published his formula concerning the $m$-th derivative of a composite function $g(f(t))$ in December 1855. In the present paper it is pointed out that several other mathematicians found different expressions of the $m$-th derivative of $g(f(t))$ in the 19th century. These are all independent of Faà di Bruno’s work and a few of them predate it. Faà di Bruno was neither the first to state the formula that bears his name, nor the first to prove it.

01A55Mathematics in the 19th century
26-03Historical (real functions)
26A24Differentiation of functions of one real variable
05A18Partitions of sets
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