--- Introduction ---
This module is an exercise on the continuity and differentiability of real
The server generates a function f (x) of one real variable x, containing
parameters a1,a2,..., which is defined by different
formulas on two segments of an interval. Your aim is to find values
for these parameters ai such that f (x) is continuous and
differentiable to a required order.
One can solve the problem either by a Taylor expansion, or by successive
In the difficult cases, the resolution of a system of linear
equations is also necessary.
Choose the level of difficulty suitable for you:
There is also a
detailed menu for the parameters of this exercise.
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. This is the main site of WIMS (WWW Interactive Multipurpose Server): interactive exercises, online calculators and plotters, mathematical recreation and games
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