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Page TOC-13
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
The chain rule for partial derivatives, 14-4