HP 48GII User Manual

Computer Algebra Commands 4-21
Result: 1/3
See also: DEFINE, STORE
DEGREE
Type: Function
Description: Returns the degree of a polynomial expression. Returns 0 for a constant expression, but –1 if
the expression is zero.
Access: Catalog, …µ
Input: Level 1/Argument 1: A polynomial expression or equation; all powers must be integers or real
numbers with no fractional part.
Output: Level 1/Item 1: An integer representing the highest power in the polynomial. If the input
contains powers of more than one variable, including the current variable, returns the highest
power of the current variable. If the input contains powers of more than one variable, not
including the current variable, returns the highest power of the first symbolic variable (one
that is not stored in the current directory path). If the input contains powers of more than one
variable, and all the variables are stored in the current directory path, returns the highest
power of any of the variables.
Flags: If exact mode is set (flag –105 clear), the result is returned as an integer, otherwise it is
returned as a real number.
Example 1: Find the degree of the polynomial represented by:
x
2
-17=x
3
+2x
Command:
DEGREE(x^2-17=x^3+2*X)
Result: 3
DERIV
Type: Function
Description: Returns the partial derivatives of a function, with respect to the specified variables.
Access: Calculus, P CALCULUS or !ÖDERIV. & INTEG.
Input: Level 2/Argument 1: A function or a list of functions.
Level 1/Argument 2: A variable, or a vector of variables. The variable or variables must not
exist as variables stored in the current directory nor directories above it.
Output: The derivative, or a vector of the derivatives, of the function or functions.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag –3 clear).
Example: Find the gradient of the following function of the spatial variables x, y, and z:
2x
2
y 3y
2
zzx++
Command:
DERIV(2*X^2*Y+3*Y^2*Z+Z*X, [X,Y,Z])
EXPAND(ANS(1))
Result: [4*Y*X+Z,2*X^2+6*Z*Y,X+3*Y^2]
See also: DERVX, dn, ∂, POTENTIAL
DERVX
Type: Function
Description: Returns the derivative of a function with respect to the current variable. This variable must
not exist as a variable stored in the current directory path.
Access: Calculus, !Ö or P CALCULUS or !ÖDERIV. & INTEG.

HP 48GII Specifications

General

Battery type	CR2032
Type	Scientific
Form factor	Pocket

Weight and Dimensions

Weight	220 g
Dimensions (WxDxH)	184 x 87 x 23.5 mm

Summary

RPL Programming

Understanding Programs

Programs as objects, delimiters, and basic structure.

Entering and Executing Programs

Details on how to create, store, and run programs.

Using Conditional Structures

Covers IF, CASE, IFT, IFTE structures for program decision-making.

Input and Output Commands

Details commands like PROMPT, INPUT, INFORM, CHOOSE for user interaction.

RPL Programming Examples

Fibonacci Numbers

Demonstrates recursive and loop-based Fibonacci calculations.

Minimum and Maximum Array Elements

Details finding min/max elements using MNX and MNX2.

Applying a Program to an Array

Explains the APLY command for transforming array elements.

Full Command and Function Reference

How to Access Commands and Functions

Explains key presses and menu paths to access commands.

ABS (Absolute Value)

Details the absolute value function and its array behavior.

ACOS (Arc Cosine)

Explains the inverse cosine function, domain, and range.

Computer Algebra Commands

CAS Operations

Overview of CAS operations and their categorization by menu.

Algebra commands

Lists and describes commands for algebraic manipulation.

Calculus Commands

Covers derivation, integration, and limit commands.

Equation Reference

Columns and Beams (1)

Provides equations for structural mechanics.

Electricity (2)

Lists equations related to electrical circuits and laws.

Fluids (3)

Covers equations for fluid mechanics.

The Development Library

Introduction

Explains the purpose and usage of the development library.

Tools for Development

Details APEEK, PEEK, POKE, POKEARM commands.

MASD Compiler

Discusses syntax, modes, and directives for MASD.

Error and Status Messages

Messages Listed Alphabetically

Alphabetical list of error messages.

Messages Listed Numerically

Numerical list of error messages by hex code.

System Flags

System Flags (continued)

Description of various system flags.

System Flags (continued)

Continuation of system flags description.

Reserved Variables

Contents of the Reserved Variables

Explanation of key reserved variables.

PPAR

Details plotting parameters.

Technical Reference

Object Sizes

Lists object sizes in bytes.

Symbolic Integration Patterns

Provides a table of symbolic integration patterns.

Parallel Processing With Lists

General rules for parallel processing

Explains conditions for parallel list processing.

Group 4: ADD and +

Describes how ADD and + handle parallel list operations.

Keyboard Shortcuts

Press and Hold key combinations

Lists functions performed by key combinations.

Shifted softkeys

Explains shift key effects on menu labels.

The Menu-Number Table

-- menus 0-117 are semi-compatible with 48G menus --

Menu numbers and paths for built-in menus.

-- New Library 222 commands --

Details commands available in Library 222.