HP 10413 Datasheet download pdf (Page 261)

261

LNP1(num)

Since the ln( )

function is asymptotic to the y axis as x approaches zero, the

natural logs of numbers close to zero are very large negatives, and possibly

inaccurate. The function LNP1 (”ln plus 1”). By finding the natural log of 1

rather than of

, the function becomes able to do its calculations in a domain

in which greater accuracy is possible. This is not something which would

normally be of concern at school level.

‘

’

This group consists of three functions, the first two of which are discussed in

detail in the chapter dealing with the Function aplet (see pages 65 to 83). The

functions are the integrate, or function, the differentiate, or function, and

the TAYLOR function, discussed below.

Briefly, a Taylor polynomial allows you to approximate the graph (and hence

values) of a complicated function via a simpler polynomial function. For

example, SIN(X) can be approximated by taking terms from the polynomial:

357

35 7

sin( ) ....

3! 5! 7!

11 1

....

6 120 5040

xxx

xx x x

=− + − +

The screen shot on the right shows the

calculator deriving the Taylor polynomial for

sin(x) up to the 7

power.

The first is calculated with MODES set to

Standard, the second with MODES set to

Fraction 4. The screen shot below shows

the fractional polynomial in more detail after

highlighting it and pressing

1 2 ... 256 257 258 259 260 261 262 263 264 265 266 ... 330 331

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HP 10413 Datasheet Page 261