HP 40G manual Calculus functions, Taylor, Variableexpression, Lower,upper,expression,variable

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