Taylor Polynomial/Series

[libman]

Hi all,

I know that Autograph will do a Maclaurin Polynomial, i.e. a Taylor Polynomial about 0. Is there a plan to construct an option for a Taylor Polynomial about a value other than 0?

All the best, keep up the great work,
Libman

[Simon]

Hi Libman,

I cannot see that it would be very hard for us to do. Maybe we could base it on a point that you drag around. Let me know how you would like it to work and we\'ll investigate.

Cheers,

Simon

[libman]

Thanks for the response Simon.

How about something like this. See below:



In the US we teach to a national Advanced Placement Calculus exam as you probably well know. I teach both AP AB Calculus and BC Calculus. Convergence and divergence of series is a big part of the BC exam and tends to give students the greatest difficulty. Concepts like the Lagrange Remainder and Legrange Error drive students nuts. The more Autograph can be "aligned" to that test, as in AP Statistics, the more appealing your program will be.

Of course, I\'m a forever fan of Autograph no matter

Thanks so much for your time,
All the best,
Greg, aka Libman
Maine

[Simon]

Dear Libman,

Thanks for the suggestions, I will be discussiing all with the team. On the subject of Taylor Series Mike Wakeford did a nifty example by plotting the derivatives of a functions, then x = a and find the intersection of this vertical line and the derivatives. Then use these as coefficients of a Taylor Series approximation to the original function. The final step is not dynamic but a very nice construction approach.

Best,

Simon