Texas Instruments TI-92 Owners Manual - Page 93

Common Calculus Operations This section gives examples for some of the functions available from the ... Calc toolbar menu. For complete information about any calculus function, refer to Appendix A. Integrating and Differentiating Note: You can integrate an expression only; you can differentiate an expression, list, or matrix. Finding a Limit Note: You can find a limit for an expression, list, or matrix. Use the ‰ integrate ( ... 2) and d differentiate ( ... 1) functions. ‰ (expression, var [,low] [,up]) d (expression, var [,order]) lets you specify limits or a constant of integration Integrate xñ ù sin(x) with respect to x. Differentiate the answer with respect to x. Use the limit ( ... 3) function. To get d, use ... 1 or 2 =. Do not simply type the letter D on the keyboard. limit(expression, var, point [,direction])* negative = from left positive = from right omitted or 0 = both Find the limit of sin(3x) / x as x approaches 0. Finding a Taylor Polynomial Important: Degree-mode scaling by p/180 may cause calculus application results to appear in a different form. Use the taylor ( ... 9) function. taylor(expression, var, order [,point]) if omitted, expansion point is 0 Find a 6th order Taylor polynomial for sin(x) with respect to x. Store the answer as a userdefined function named y1(x). Then graph sin(x) and the Taylor polynomial. Graph sin(x):Graph y1(x) 76 Chapter 3: Symbolic Manipulation