- :Input "X0:",A
- :Input "N:",N
- :For(B,1,N)
- :A-Y
_{1}(A)/nDeriv(Y_{1},X,A)→A - :Disp A
- :End

PROGRAM:NEWTON

- :Input "A:",A
- :Input "B:",B
- :Disp fnInt(Y
_{1},X,A,B)/(B-A)

PROGRAM:AVEVAL

- :Input "θ:",θ
- :nDeriv(r
_{1},θ,θ)→D - :(Dsin(θ)+r
_{1}cos(θ))/(Dcos(θ)-r_{1}sin(θ))→S - :Disp S

PROGRAM:PolarS

- :Input "A:",A
- :Input "B:",B
- :Input "N:",N
- :(B-A)/N→W
- :0→S
- :For(C,0,N-1)
- :WY
_{1}(A+C*W)+S→S - :End
- :Disp S

PROGRAM:LEFTSUM

- :Input "A:",A
- :Input "B:",B
- :Input "N:",N
- :(B-A)/N→W
- :0→S
- :For(C,1,N)
- :WY
_{1}(A+C*W)+S→S - :End
- :Disp S

PROGRAM:RIGHTSUM

- :Input "A:",A
- :Input "B:",B
- :Input "N:",N
- :(B-A)/N→W
- :0→S
- :For(C,0.5,N)
- :WY
_{1}(A+C*W)+S→S - :End
- :Disp S

PROGRAM:MIDSUM

- :Input "A:",A
- :Input "B:",B
- :Input "N:",N
- :(B-A)/N→W
- :0→S
- :For(C,0,N-1)
- :W/2(Y
_{1}(A+C*W)+Y_{1}(A+C*W+W))+S→S - :End
- :Disp S

PROGRAM:TRAPSUM

- :Input "A:",A
- :Input "B:",B
- :Input "N:",N
- :(B-A)/N→W
- :0→S
- :For(C,0,N-1)
- :W/3(Y
_{1}(A+C*W)+Y_{1}(A+C*W+W))+S→S - :End
- :For(C,1,N-1,2)
- :2W/3Y
_{1}(A+C*W)+S→S - :End
- :Disp S

PROGRAM:SIMPSUM

- :P(X)=F(A)+F'(A)(X-A)+F"(A)(X-A)
^{2}/2+F"'(A)(X-A)^{3}/3!+

PROGRAM:TAYLOR

## TI-84 Functions | |||||
---|---|---|---|---|---|

Function | Where can I find it? | What does it do? | |||

θ | X,T,θ,n |
Simply the independent variable of a polar function. Make sure to put your
calculator in polar mode by pressing MODE+POL |
|||

Input | PRGM+I/O+1 |
Displays text then accepts input for a variable such as A. | |||

For( | PRGM+4 |
Repeats the code between For( and End while setting the first variable to values in the provided range. | |||

Y_{1} |
VARS+Y-VARS+1 |
Accesses the function labeled Y_{1}. |
|||

r_{1} |
VARS+Y-VARS+3 |
Accesses the function labeled r_{1}. |
|||

nDeriv( | MATH+8 |
Approximates the derivative of a function at a value. | |||

fnInt( | MATH+9 |
Approximates the antiderivative of a function at a value | |||

Disp | PRGM+8 |
Displays a number or variable on the screen. | |||

→ | STO> |
Stores a number or text inside of a variable. |