hp40g+.book Page 6 Friday, December 9, 2005 1:03 AM

ABS

n

Example

2^8 returns 256

Absolute value. For a complex number, this is x2 + y2 .

ABS(value)

ABS((x,y))

Example

ABS(–1) returns 1

ABS((1,2)) returns 2.2360679775

Takes the nth root of x. root NTHROOT value

Example

3 NTHROOT 8 returns 2

Calculus functions

The symbols for differentiation and integration are

available directly form the keyboard— and S 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 13-21.

 

∂ 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 13-20 for

 

further details.

13-6

 

 

Using mathematical functions