Hp 39g Graphing Calculator Instrukcja Użytkownika Pobierz pdf (Strona 161)

Finding derivatives

To find

derivatives in

HOME

The HP 39G/40G can perform symbolic differentiation on

some functions. There are two ways of using the HP 39G/40G

to find derivatives.

• You can perform differentiations in HOME by using the

formal variables, SI to S5.

• You can perform differentiations of functions of X in the

Function aplet.

To find the derivative of the function in HOME, use a formal

variable in place of X. If you use X, the differentiation

function substitutes the value that X holds, and returns a

numeric result.

For example, consider the function:

dx{ sin (x ) + 2 cos (x))

1. Enter the differentiation function onto the command line

substituting S1 in place of X.

phaI sid/dx

[T] jsiNj I alpha) si

HQ 0 20

fcosj I ALPHA I SI

Q] D]

2. Evaluate the function.

ENTER

3. Show the result.

(T|

COs(s 1 1+2-SI H(S 1)

HP39G

..CSINCSP)+2C0SCS1))4

iSl<SIN<Sl = >+2*C0SiSl„,

C0S<Sl = >i<2*Sl>+2*-SI,„

smi

COS(S1®0S1-2'SIN(S1)

HP40G

Using mathematical functions

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Hp 39g Graphing Calculator Instrukcja Użytkownika Strona 161