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.
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, nice sophia antipolis university, analysis, algebra, continuity, derivative, limit