engleski

L'Hôpital's rule without derivatives

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.

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

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