Joint --- Introduction ---

This module is an exercise on the continuity and differentiability of real functions.

The server generates a function f of one real variable, containing parameters a 1, a 2,..., hich is defined by different formulas on two segments of an interval. Your aim is to find values for these parameters a i such that f 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.

Set up Choose the level of difficulty suitable for you:
1 . 2 . 3 . 4 . 5 . 6 . 7 . 8 .
Detailed menu
The most recent version
This page is not in its usual appearance because WIMS is unable to recognize your web browser.
In order to access WIMS services, you need a browser supporting forms. In order to test the browser you are using, please type the word wims here: and press ``Enter''.

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.