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.
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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, analysis, algebra, continuity, derivative, limit