Hp 48g Graphing Calculator Manual do Utilizador descarregar pdf (Página 251)

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101

Creating User-Defined Derivatives

If you execute d for a function that has no built-in derivative, d

returns a new function whose name is der followed by the original

function name. The new function has arguments that are the

arguments of the original function, plus the arguments’ derivatives.

(You can differentiate further by creating a user-defined function to

represent the new derivative function.)

If you execute d for a formal user function (a name followed by

arguments in parentheses, for which no user-defined function exists

in user memory), d returns a formal derivative whose name is der

followed by the original user function name, plus the arguments and

their derivatives.

Example: The HP 48 definition of % does not include a derivative.

If you enter ' dZ<“;;<Xj Y) > ' and press fEVAll. you get

' der”;;

, i :

J5ach argument of the % function results in two arguments

for the der% function—K results in Y and dZCK), and V

results in Y and dZ<Y>,

To define the derivative function for %, you can enter

' d e r K X f y |i d ? d y > = < x * d y+y * d 10 9 ' and press

(DW^. DERZ will appear in your ’VAR menu.

Now you can obtain the derivative of ' % < X, > '

by entering the expression and the variable ' Y ' , then

pressing 0(D i^fALGEBRAl CuLCT. The result is

Example: Enter the derivative of a formal user function,

' <xl ;i x£h :k3> ) '. Then evaluate it by pressing

fEVAL~). The result is this:

' d0rf (. ;:< I j ;:-iX, , ,::Jx i. 1 ~ <3X K X',d ) d;:-i t '

Calculus and Symbolic Manipulation 20-11

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