Texas Instruments Titanium TI-89 User Manual

Symbolic Manipulation 269
Finding a Taylor Polynomial
Finding a Taylor PolynomialFinding a Taylor Polynomial
Finding a Taylor Polynomial
Use the
taylor (… 9) 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
User-Defined Functions and Symbolic ManipulationUser-Defined Functions and Symbolic Manipulation
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)

Texas Instruments Titanium TI-89 Specifications

General

Display Type	LCD
Display Resolution	160 x 100 pixels
Memory	188 KB RAM, 2.7 MB Flash ROM
Type	Graphing Calculator
Display	Monochrome
Processor	Motorola 68000
Processor Speed	12 MHz
Power Source	4 AAA batteries
Connectivity	USB
Programming	TI-BASIC, Assembly
Operating System	AMS (Advanced Mathematics Software)