HP 48gII User Manual

Page 17

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Page TOC-13

Function

lim,

13-2

Derivatives,

13-3

Function DERIV and DERVX,13-3

The DERIV&INTEG menu, 13-3

Calculating

derivatives

with

∂,13-4

The

chain

rule,13-6

Derivatives

of

equations,13-6

Implicit

derivatives,13-7

Application of derivatives,13-7

Analyzing graphics of functions,13-7

Function

DOMAIN,

13-9

Function

TABVAL,

13-9

Function

SIGNTAB,

13-10

Function

TABVAR,

13-10

Using derivatives to calculate extreme points, 13-12

Higher-order

derivatives,

13-13

Anti-derivatives and integrals, ,13-14

Functions INT, INTVX, RISCH, SIGMA, and SIGMAVX,13-14

Definite

integrals,13-15

Step-by-step evaluation of derivatives and integrals,13-16

Integrating an equation, 13-18

Techniques of integration, 13-18

Substitution or change of variables, 13-18

Integration by parts and differentials,13-19

Integration by partial fractions,13-20

Improper

integrals,13-21

Integration with units, 13-21

Infinite series,13-23

Taylor and Maclaurin’s series,13-23

Taylor polynomial and remainder,13-23

Functions TAYLR, TAYRL0, and SERIES,13-24

Chapter 14 - Multi-variate Calculus Applications

, 14-1

Multi-variate functions, 14-1

Partial derivatives, 14-1

Higher-order

derivatives,

14-3

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