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Chapter 3:  Math, Calculus, and Test Operations 
55
03MATH.DOC   TI-86, Chap 3, US English   Bob Fedorisko   Revised: 02/13/01 2:19 PM   Printed: 02/13/01 3:00 PM   Page 55 of 10
03MATH.DOC   TI-86, Chap 3, US English   Bob Fedorisko   Revised: 02/13/01 2:19 PM   Printed: 02/13/01 3:00 PM   Page 55 of 10
The built-in variable 
d
 defines the step size in calculating 
nDer(
 (in 
dxNDer
 differentiation
mode only) and 
arc(
. The built-in variable 
tol
 defines the tolerance in calculating 
fnInt(
fMin(
,
fMax(
, and 
arc(
. The value of each must be >0. These factors affect the accuracy of the
calculations. As 
d
 becomes smaller, the approximation typically is more accurate. For
example, 
nDer(A^3,A,5)
 returns 
75.0001
 if 
d
=.01
, but returns 
75
 if 
d
=.0001
 (Appendix).
The function integral error value is stored to the variable 
fnIntErr
 (Appendix).
For 
arc(
 and 
fnInt(
 while 
dxDer1
 mode is set, these functions are not valid in expression:
evalF(
der1(
der2(
fMin(
fMax(
nDer(
seq(
, and any equation variable, such as 
y1
.
You can approximate the fourth derivative at the current value of x with this formula:
nDer(nDer(der2(x^4,x),x),x)
.
The TEST (Relational) Menu     
- ˜
= =
<
>

4
ƒ
valueA
==
valueB
(equal to) Returns 
if valueA is equal to valueB; returns 
0
 if not equal; valueA and
valueB
 can be real or complex numbers, lists, vectors, matrices, or strings
valueA
<
valueB
(less than) Returns 
1
 if valueA is less than valueB; returns 
0
 if valueA is not less than
valueB
valueA and valueB must be real numbers or lists
valueA
>
valueB
(greater than) Returns 
1
 if valueA is greater than valueB; returns 
0
 if valueA is not
greater than valueBvalueA and valueB must be real numbers or lists
valueA
 

 valueB (less than or equal to) Returns 
1
 if valueA is less than or equal to valueB; returns 
0
 if valueA
is not less than or equal to valueBvalueA and valueB must be real numbers or lists
Relational functions are valid
for two lists of the same
length. When  
valueA
 and
valueB
 are lists, a list of
results calculated element by
element is returned.