# Joint --- Introduction ---

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

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 derivations. In the difficult cases, the resolution of a system of linear equations is also necessary.

Choose the level of difficulty suitable for you: 1 . 2 . 3 . 4 . 5 . 6 . 7 . 8 .

There is also a detailed menu for the parameters of this exercise.

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.

• 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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