NEWTON-RAPHSON
By James Darbyshire

*** MORE GAMES AND PROGRAMS FOR CASIO CALCULATORS AT ***
******** http://www.student.uwa.edu.au/~wedgey *********

This is a simple program which will determine the x values
for which a function equals zero.  You need to enter the function
which is equal to zero, and assign it to a function memory (below).
No need to differentiate - the program will do it for you!

You need to make sure that your function is equal to zero.
            e.g.    2X + ln X - 2 = 0
            NOT       2X + ln X = 2
If you can't make something equal to zero, then you probably
shouldn't have the need to do Newton-Raphson!

To use function memories, press shift+F-MEM (usually shift+zero)
and for f1, press fn+1.  You must use the variable X in the formula.

SYMBOLS USED:
@     display symbol (triangle)
->    assign key (arrow)
d/dx( derivative sign
f1    function memory 1 (above)

SIZE: 145 bytes

THE CODE:

'NEWTON-RAPHSON
Rad                     (for calculus - trig derivatives)
"ENTER FORMULA=0"
"SHIFT 0:STO 1"? -> O
"START VALUE"? -> X
"APPROXIMATIONS:"
Lbl 0
f1 -> V
d/dx(f1,X) -> W         d/dx( is derivative sign
X-(V/W) -> X@
Int V=0 => Frac Abs V<1+E-11 => Goto 1
Goto 0