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L'Hôpital's rule without derivatives

Sanjo Zlobec ; Department of Mathematics and Statistics, McGill University, Burnside Hall, Montreal, Quebec, Canada

Sažetak

Quotients of derivatives of continuously differentiable functions of the single variable are characterized without using differentiation. This yields augmentations of L'Hôpital's rule, for an indeterminate form of type 0/0, and reformulations of the theorem of Lagrange.

Ključne riječi

quotient of derivatives; L'Hôpital's rule; zero derivative point; uniformly bounded function; Lagrange multiplier; velocity

Hrčak ID:

93299

URI

https://hrcak.srce.hr/93299

Datum izdavanja:

5.12.2012.

Posjeta: 1.593 *