Calculus functions

The symbols for differentiation and integration are available directly form the keyboard— >G￿G[@ and ) respectively—as well as from the MATH menu.

%

Differentiates expression with respect to the variable of

 

differentiation. From the command line, use a formal name

 

(S1, etc.) for a non-numeric result. See “Finding derivatives”

 

on page 10-23.

 

%variable(expression)

 

Example

 

%s1(s12+3*s1) returns 2*s1+3

)

Integrates expression from lower to upper limits with respect

 

to the variable of integration. To find the definite integral,

 

both limits must have numeric values (that is, be numbers or

 

real variables). To find the indefinite integral, one of the limits

 

must be a formal variable (s1, etc.).

 

)(lower,upper,expression,variable)

 

See “Using formal variables” on page 10-22 for further

 

details.

 

Example

 

)(0,s1,2*X+3,X) >(17(5@*k,&23<_ >(17(5@ finds the

 

indefinite result 3*s1+2*(s1^2/2)

 

See “To find the indefinite integral using formal

 

variables” on page 10-25 for more information on

 

finding indefinite integrals.

TAYLOR

Calculates the nth order Taylor polynomial of expression at

 

the point where the given variable = 0.

 

TAYLOR(expression,variable,n)

 

Example

 

TAYLOR(1 + sin(s1)2,s1,5)with Radians angle

 

measure and Fraction number format (set in MODES)

 

returns 1+s1^2-1/3*s1^4.

Using mathematical functions

10-7