Texas Instruments TI-89, TI-92

432 Appendix A: Functions and Instructions

8992APPA.DOC TI-89 / TI-92 Plus: Appendix A (US English) Susan Gullord Revised: 02/23/01 1:48 PM Printed: 02/23/01 2:21 PM Page 432 of 132

d() 2=key or MATH/Calculus menu

d(expression1, var [,order]) ⇒ expression

d(list1,var [,order]) ⇒ list

d(matrix1,var [,order]) ⇒ matrix

Returns the first derivative of expression1

with respect to variable var. expression1 can

be a list or a matrix.

order, if included, must be an integer. If the

order is less than zero, the result will be an

anti-derivative.

d() does not follow the normal evaluation

mechanism of fully simplifying its arguments

and then applying the function definition to

these fully simplified arguments. Instead, d()

performs the following steps:

1. Simplify the second argument only to the

extent that it does not lead to a non-

variable.

2. Simplify the first argument only to the

extent that it does recall any stored value

for the variable determined by step 1.

3. Determine the symbolic derivative of the

result of step 2 with respect to the

variable from step 1.

4. If the variable from step 1 has a stored

value or a value specified by a “with” (|)

operator, substitute that value into the

result from step 3.

d(3x^3ìx+7,x) ¸9xñì1

d(3x^3ìx+7,x,2) ¸18øx

d(f(x)ùg(x),x) ¸

dx(f(x))øg(x) + d

dx(g(x))øf(x)

d(sin(f(x)),x) ¸

cos(f(x)) d

dx(f(x))

d(x^3,x)|x=5 ¸75

d(d(x^2ùy^3,x),y) ¸6øyñøx

d(x^2,x,ë1) ¸xò

d({x^2,x^3,x^4},x) ¸

{

2øx 3øx

4øx

ò}

4DD MATH/Angle menu

number 4DD ⇒ value

list1 4DD ⇒ list

matrix1 4DD ⇒ matrix

Returns the decimal equivalent of the

argument. The argument is a number, list, or

matrix that is interpreted by the Mode

setting in radians or degrees.

Note: 4DD can also accept input in radians.

In Degree angle mode:

1.5ó4DD ¸1.5ó

45ó22'14.3" 4DD ¸45.370...ó

{45ó22'14.3",60ó0'0"} 4DD ¸

{45.370... 60}¡

In Radian angle mode:

1.5 4DD ¸85.9ó

4Dec MATH/Base menu

integer1 4Dec ⇒ integer

Converts integer1 to a decimal (base 10)

number. A binary or hexadecimal entry must

always have a 0b or 0h prefix, respectively.

0b10011 4Dec ¸19

0h1F 4Dec ¸31