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The test (relational) menu – Texas Instruments TI-86 User Manual

Page 67

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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

1

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 valueB; valueA 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 valueB; valueA 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.