76 Chapter 3: Symbolic Manipulation
03SYMBOL.DOC TI-89/TI-92 Plus: Symbolic Manipulation (English) Susan Gullord Revised: 02/23/01 10:52 AM Printed: 02/23/01 2:12 PM Page 76 of 24
Use the
‰
integrate ( … 2) and d differentiate ( … 1) functions.
‰
(expression, var [,low] [,up])
d (expression, var [,order])
Integrate xñùsin(x) with respect
to x.
Differentiate the answer with
respect to x.
Use the limit ( … 3) function.
limit(expression, var, point [,direction])*
Find the limit of sin(3x) / x as x
approaches 0.
Use the taylor ( … 9) function.
taylor(expression, var, order [,point])
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.
Graph sin(x):Graph y1(x)
Common Calculus Operations
This section gives examples for some of the functions
available from the … Calc toolbar menu. For complete
information about any calculus function, refer to Appendix A.
Integrating and
Differentiating
Note: You can integrate an
expression only; you can
differentiate an expression,
list, or matrix.
Finding a Limit
Note: You can find a limit
for an expression, list, or
matrix.
Finding a Taylor
Polynomial
Important: Degree-mode
scaling by p/180 may cause
calculus application results
to appear in a different form.
lets you specify limits or a
constant of integration
To get d, use … 1 or 2 =.
Do not simply type the letter D
on the keyboard.
negative = from left
positive = from right
omitted or 0 = both
if omitted, expansion point is 0