# Chapter 13 - Calculus Applications; The Calc (calculus) Menu; Limits And Derivatives - HP 49g+ User Manual

Graphing calculator.

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.

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.
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