HP HP-28S User Manual

Complete Differ~ntiation
To differentiate an expression all at once, perform differentiation as a
stack
operation. Again, suppose you want to find:
..!L tan (x
2
+ 1)
dx
Put the expression to be differentiated on the stack.
.1 CLEAR I 3:
2:
CJ TAN X.~ 2 ~ 1 1 ENTER I 1 : ' TAN (W'2+ 1 ) ,
RI:IImrnaallEmlllil3llllllCl
Specify the variable of differentiation.
CJ X 1 ENTER I r:::
3
:-::":------------,
2: 'TAN(X
A
2+1),
1: 'X'
RI:IImrnaallEmlllil3llllllCl
Differentiate the expression .
• 1 d/dx I
The fully evaluated derivative is returned to level 1.
Integrating an Expression
The HP-28S calculates the indefinite integral of an expression by sym-
bolic integration, which returns an expression as a result. This method
returns an exact result only for polynomial expressions. (For other ex-
pressions,
the HP-28S integrates a Taylor series approximation to the
expression. See "Calculus" in the Reference Manual for details.) The
first example below demonstrates symbolic integration.
In contrast, definite integrals are calculated
by numerical integration,
which returns numerical results. This method works for any expres-
sion that is "well-behaved" in the mathematical sense. The second
example below demonstrates numerical integration.
120 10: Calculus

HP HP-28S Specifications

General

Introduced	1988
Memory	32 KB
Number of Digits	12
Type	Scientific Calculator
Manufacturer	Hewlett-Packard (HP)
Display	LCD
Processor	Saturn
Programming	RPL

Summary

HP-28S Advanced Scientific Calculator Owner's Manual

Part 1: Fundamentals

Introduces basic operations, calculator features, and core concepts.

Getting Started

Covers initial setup, basic operations, and calculator overview.

Doing Arithmetic

Explains methods for performing calculations using stack and expressions.

Part 2: Summary of Calculator Features

Objects

Describes fundamental data types, symbolic operations, and programming elements.

The Command Line

Explains input methods, cursor control, and command entry.

The Stack

Reviews stack concepts and commands for manipulating objects.

Part 3: Programming

Program Structures

Covers conditional logic, loops, and error handling in programs.

Conditional Structures

Explains testing conditions and making decisions within programs.

Definite Loop Structures

Details structures for executing code a specific number of times.

Appendixes & Indexes

Appendix A: Assistance, Batteries, and Service

Provides troubleshooting, battery info, and service details.

Answers to Common Questions

Addresses frequent user queries and common calculator issues.

Appendix B: Notes for HP RPN Calculator Users

Highlights differences for users familiar with RPN calculators.

Appendix D: Menu Map

Lists commands by menu, with descriptions and page references.

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