d'Arbeloff Interactive Math Project

  Taylor Polynomials

The main window displays a the graph of a function, in cyan, together with the graph of one of its Taylor polynomials, in yellow. The point at which the polynomial is expanded, x = a, can be selected by grabbing the a slider or using the [<], [>] keys, and this choice can be animated using the [>>] key.

Rolling the cursor over the graphing window creates crosshairs and a readout of the coordinates.

Select a function from the popdown menu [v].

Select the degree of the Taylor polynomial using the n slider.

The [Formulas] toggle displays or hides an expression for the Taylor polynomial.

The [Terms] toggle displays or hides a readout of the terms in the selected Taylor polyomial p(x).

 

© 2001 H. Hohn