Difference Quotient - TI 83 Plus

Introduction
This program estimates the value of a derivative at a point using the difference quotient $f^\prime(A)\approx{f(A+H)-f(A)\over H}$

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.

If you have a TI Connectivity Cable, you can download the program DIFFQUO.8xp

The Program

:Prompt A, H {Prompt is in PRGM under I/O}

:A $\to$ X {The arrow is STO} {X is the X,T button}

:Y1 $\to$ B {Y1 is in VARS under Y-VARS}

:X+H $\to$ X

:Y1 $\to$ C

:(C-B)/H $\to$ D

:Disp D {Disp is in PRGM under I/O}

Running the Program

You will need to enter a function f(x) into Y1 before running the program. To test the program try the following:

f(x) = x³, A=2, H=0.01.

The answer should be 12.0601

:Prompt A, H	{Prompt is in PRGM under I/O}
:A $\to$ X	{The arrow is STO} {X is the X,T button}
:Y1 $\to$ B	{Y1 is in VARS under Y-VARS}
:X+H $\to$ X
:Y1 $\to$ C
:(C-B)/H $\to$ D
:Disp D	{Disp is in PRGM under I/O}