The derivative of a function Heydar Zahedani CSU San Marcos

First the derivative was used, then discovered, and only then, defined.

Fermat, Descartes, used the above method to solve the tangent problem

Newton (1669) Newton and Leibniz independently invented calculus in the latter third of the seventeenth century Newton called our derivative a rate of flux or change and Leibniz called it the differential quotient So the derivative was discovered

Leibniz (1684)

He claimed that any analytic function had a power series expansion LaGrange (1797)

Cauchy (1823)

There is everywhere continuous, nowhere differentiable function. Weierstrass (1861)

How did the concept of derivative develop? Judith Grabinar

Caratheodory’s Theorem [ ]

Caratheodory’s definition of the derivative [ ]

Chain Rule Caratheodory (1953)

Fréchet derivative Fréchet 1878-1973

Theorem Fréchet 1878-1973

Fréchet 1878-1973

Derivation on Algebras Barry Edward Johnson 1937-2002

References