The server generates a function *f* (x) of one real variable x, containing
parameters a_{1},a_{2},..., which 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* (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.

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
- Keywords: wims, mathematics, mathematical, math, maths, interactive mathematics, interactive math, interactive maths, mathematic, online, calculator, graphing, exercise, exercice, puzzle, calculus, K-12, algebra, mathématique, interactive, interactive mathematics, interactive mathematical, interactive math, interactive maths, mathematical education, enseignement mathématique, mathematics teaching, teaching mathematics, algebra, geometry, calculus, function, curve, surface, graphing, virtual class, virtual classes, virtual classroom, virtual classrooms, interactive documents, interactive document, analysis, algebra, continuity, derivability, limit