# NEWTON'S METHOD- Casio 7700

Introduction
This program finds successive approximations to the solutions of  f(x) = 0 using Newton's method.

If you have not used one of the programs posted on this website before, you should read through the information in the Intro to Programming section first.

The Program
 'NEWTON' {'   is in ALPHA} {This is the name of the program} "INITIAL GUESS"?X {" is in ALPHA} {?   is in PRGM} { is on the   ,   button} Lbl 1 {Lbl is in PRGM under JMP} XA X-f1 f2X {f1 is in Fmem. Choose fn, then type a 1} X { is in PRGM} X A Goto 1 { , Goto are in PRGM under JMP} { is in PRGM under REL}

Running the Program
You will need to enter f(x) and f '(x) into f1 and f2, respectively. Store your function by hitting Fmem. Store your equations in position 1 and 2. After entering an initial guess for the solution to f(x) = 0 , hit EXE to obtain each new approximation. To test the program try the following:

f(x) = x3-3x2+x-5,  f '(x) = 3x2-6x+1,  initial guess = 3.

The approximations should be
3.2
3.18019169329
3.17998109582
3.17998107216