This module is an exercise on the continuity and differentiability
of real functions.
The server generates a function of one real variable, containing
parameters , ,..., hich is defined by
different formulas on two segments of an interval.
Your aim is to find values for these parameters such that
is continuous and differentiable to a required order.
One can solve the problem either by a Taylor expansion,
or by successive derivations. In the difficult cases, the resolution
of a system of linear equations is also necessary.
The most recent version This page is not in its usual appearance because WIMS is unable to recognize your
Please take note that WIMS pages are interactively generated; they are not ordinary
HTML files. They must be used interactively ONLINE. It is useless
for you to gather them through a robot program.
Description: parametrize a function to make it differentiable to a required order. interactive exercises, online calculators and plotters, mathematical recreation and games
Keywords: interactive mathematics, interactive math, server side interactivity, wims, ubfc, bourgogne franche-comté,, analysis, algebra, continuity, derivative, limit