User-Defined Functions And Symbolic Manipulation - Texas Instruments TI-89 Manual Book

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User-Defined Functions and Symbolic Manipulation

For Information
about Creating a
User-Defined
Function
Undefined
Functions
Tip: To select d from the
Calc toolbar menu, press
... 1 (or press 2 = on the
keyboard).
Single-Statement
Functions
Tip: To select limit from the
Calc toolbar menu, press
... 3 .
Tip: To select ‰ from the
Calc toolbar menu, press
... 2 (or press 2 < on the
keyboard). To select taylor,
press ... 9.
You can use a user-defined function as an argument for the
built-in algebra and calculus functions.
TI-89 / TI-92 Plus's
Refer to:
¦
"Creating and Evaluating User-Defined Functions" in Chapter 5.
¦
"Graphing a Function Defined on the Home Screen" and
"Graphing a Piecewise Defined Function" in Chapter 12.
¦
"Overview of Entering a Function" in Chapter 17.
You can use functions such as
assigned a definition. These "undefined" functions yield symbolic
results. For example:
Use
to ensure that
DelVar
and
are not defined.
g(x)
Then find the derivative of
ù
with respect to
f(x)
g(x)
You can use user-defined functions consisting of a single expression.
For example:
¦
Use § to create a user-defined secant function, where:
1
sec(x) =
cos(x)
Then find the limit of
as
approaches
p/4
x
¦
Use
to create a user-defined function
Define
x
h(x)=
sin(t) / t
0
Then find a 5th order Taylor
polynomial for
h(x)
respect to
.
x
,
,
, etc., that have not been
f(x)
g(t)
r(q)
f(x)
.
x
sec(x)
.
Define h(x)= ‰(sin(t)/t,t,0,x).
with
Chapter 3: Symbolic Manipulation
, where:
h(x)
77

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