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Page 13-1
Chapter 13
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 4 key). The CALC menu shows the following entries:
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. Differential equations, the subject of item (3), are presented in
Chapter 16. Graphic functions, the subject of item (4), were presented at the
end of Chapter 12. Finally, entries 5. DERVX and 6.INTVX are the functions to
obtain a derivative and a indefinite integral for a function of the default CAS
variable (typically, ‘X’). 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.