HP 48gII Manuel d'utilisateur télécharger pdf (Page 136)

Page 11-1

Chapter 11

Calculus Applications

In this Chapter we discuss applications of the calculator’s functions to

operations related to Calculus, e.g., limits, derivatives, integrals, power series,

etc.

The CALC (Calculus) menu

Many of the functions presented in this Chapter are contained in the

calculator’s CALC menu, available through the keystroke sequence

„Ö

(associated with the

key):

The first four options in this menu are actually sub-menus that apply to (1)

derivatives and integrals, (2) limits and power series, (3) differential equations,

and (4) graphics. The functions in entries (1) and (2) will be presented in this

Chapter. Functions DERVX and INTVX are discussed in detail later.

Limits and derivatives

Differential calculus deals with derivatives, or rates of change, of functions

and their applications in mathematical analysis. The derivative of a function

is defined as a limit of the difference of a function as the increment in the

independent variable tends to zero. Limits are used also to check the

continuity of functions.

Function lim

The calculator provides function lim to calculate limits of functions. This

function uses as input an expression representing a function and the value

where the limit is to be calculated. Function lim is available through the

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HP 48gII Manuel d'utilisateur Page 136