User-defined functions and symbolic manipulation – Texas Instruments TITANIUM TI-89 User Manual

Page 269

Symbolic Manipulation

269

Finding a Taylor Polynomial

Use the

taylor

(

…

) function.

Important:

Degree-mode scaling by p/180 may cause calculus application results to

appear in a different form.

User-Defined Functions and Symbolic Manipulation

You can use a user-defined function as an argument for the TI-89 Titanium ’s built-in
algebra and calculus functions.

Find a 6th order Taylor polynomial for

sin(x)

with respect to x.

Store the answer as a user-defined function
named

y1(x)

Then graph

sin(x)

and the Taylor polynomial.

taylor(expression

var

order

[

,point

]

)

if omitted, expansion point is 0

Graph sin(x):Graph
y1(x)