HP 39g Graphing Calculator Betriebsanweisung PDF herunterladen (Seite 143)

Using mathematical functions 10-7

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(s1

+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,

>(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)

,s1,5)with Radians angle

measure and Fraction number format (set in MODES)

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

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HP 39g Graphing Calculator Betriebsanweisung Seite 143