HP 48gII hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf - Page 436
Calculus Applications, The CALC (Calculus) menu, Limits and derivatives
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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. Page 13-1
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