Others!!!
Approach to tangent lines was applied
in the 1640's by an Italian physicist and student of Galileo, Evagelista Torricelli (1608-1647), and by a French
mathematician Gills Persone de Roberval (1602-1675). They used this approach to
determine tangent lines to a variety of curves, including those given in modern
notation by the equation
with various
rational exponents n.
In the 1960’s, an American
mathematician, Abraham Robinson, devised a rigorous notion of infinitesimal. It
involves an abstract mathematical structure that avoids consideration of the
"infinitely small". Calculus based on Robinson's infinitesimals is
known as nonstandard analysis.