Texas Instruments TI-84 Plus Guide

Chapter 2
These values are those in the fifth row of the above table
− the values for k = 0.001. From this
point forward, we use k = 0.001 and therefore do not specify k when evaluating
nDeriv(. Will
the slope of this secant line always do a good job of approximating the slope of the tangent
line when k = 0.001? Yes, it generally does, as long as the instantaneous rate of change exists
at the input value at which you evaluate
nDeriv(. When the instantaneous rate of change does
not exist,
nDeriv( should not be used to approximate something that does not have a value.
You will benefit from reading again pages 46 and 47 of this
Guide, which illustrate several cases when the calculator’s slope
function gives a value for the slope when it does not exist. For
instance, the instantaneous rate of change of f(x) = |x| does not
exist at x = 0 because the graph of f has a sharp point there.
However, the calculator’s slope function does exist at that point.
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54

Texas Instruments TI-84 Plus Specifications

General

Battery type	AAA
Power source	Battery
Number of batteries supported	4
Type	Graphing
Cover	No
Form factor	Pocket
Control type	Buttons
Product color	Black
USB port	Yes
USB 2.0 ports quantity	1
Digits	- digits
Display number of lines	8 lines
Display number of characters	16
RAM capacity	0.024 MB
ROM capacity	0.480 MB
Storage media type	-