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Archives  ·  Vol. 13, No. 1 (2025)

Derivatives and Approximations: The Case of f(x)=exp(x) and the Affine Approximation l(x)=x+1

Humberto José Bortolossi — Universidade Federal Fluminense
Luciana Prado Mouta Pena — Universidade Federal Fluminense

Abstract

This text explores, from a numerical perspective, the use of the affine function l(x) = x+1 to approximate the function f(x) = exp(x), including values of x not so close to p = 0. The exposition is visually and graphically implemented in GeoGebra, allowing for an interactive understanding of the approximation.

Keywords: GeoGebra


Licensed under CC BY-NC-SA 4.0 · ISSN 2162-3856  ·  North American GeoGebra Journal