Texas Instruments TI-89 Manual Book page 449

d()
2 =
key or MATH/Calculus menu
d(expression1, var [,order])
d(list1,var [,order])
d(matrix1,var [,order])
Returns the first derivative of
with respect to variable
be a list or a matrix.
, if included, must be an integer. If the
order
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.
4DD
MATH/Angle menu
number 4DD
list1 4DD
list
matrix1 4DD
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
4Dec
MATH/Base menu
integer1 4Dec
Converts
number. A binary or hexadecimal entry must
always have a 0b or 0h prefix, respectively.
432 Appendix A: Functions and Instructions
expression
list
matrix
expression1
.
var expression1
value
matrix
can also accept input in radians.
integer
to a decimal (base 10)
integer1
d(3x^3ì x+7,x) ¸
d(3x^3ì x+7,x,2) ¸
d(f(x)ù g(x),x) ¸
can
d
dx (f(x))ø g(x) +
d(sin(f(x)),x) ¸
d(x^3,x)|x=5 ¸
()
d(d(x^2ù y^3,x),y) ¸
d(x^2,x,ë 1) ¸
d({x^2,x^3,x^4},x) ¸
In Degree angle mode:
1.5ó 4DD ¸
45ó 22'14.3" 4DD ¸
{45ó 22'14.3",60ó 0'0"} 4DD ¸
In Radian angle mode:
1.5 4DD ¸
0b10011 4Dec ¸
0h1F 4Dec ¸
9xñ ì 1
18ø x
d
dx (g(x))ø f(x)
d
cos(f(x)) dx (f(x))
75
6ø yñ ø x
xò
3
{2ø x 3ø xñ 4ø xò }
1.5ó
45.370...ó
{45.370... 60}¡
85.9ó
19
31