Texas Instruments Titanium TI-89, Руководство пользователя

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782 Appendix A: Functions and Instructions
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^3
ì
x+7,x)
¸
9x
ñ ì
1
d ( 3x^3 ì x+7,x,2) ¸ 18 ø x
d
(f(x)
ù
g(x),x)
¸
d
d
x
(f(x))
ø
g(x) +
d
d
x
(g(x))
ø
f(x)
d (sin(f(x)),x)
¸
cos(f(x))
d
d
x
(f(x))
d
(x^3,x)|x=5
¸
75
d ( d (x^2
ù
y^3,x),y)
¸
6
ø
y
ñ ø
x
d
(x^2,x,
ë
1)
¸
x ò
3
d ({x^2,x^3,x^4},x)
¸
{2
ø
x 3
ø
x
ñ
4
ø
x
ò
}
dayOfWk()
CATALOG
dayOfWk(
year,month,day
)
⇒
integer
Returns an integer from 1 to 7, with each integer
representing a day of the week. Use
dayOfWk()
to
determine on which day of the week a particular
date would occur.
Note: May not give accurate results for years prior
to 1583 (pre-Gregorian calendar).
Enter the year as a four-digit integer. The month
and day can be either one- or two-digit integers.
dayOfWk(1948,9,6) 2
Integer values:
1 = Sunday
2 = Monday
3 = Tuesday
4 = Wednesday
5 = Thursday
6 = Friday
7 = Saturday
4
DD
MATH/Angle menu
number
4
DD
⇒
value
list1
4
DD
⇒
list
matrix1
4
DD
⇒
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:
4
DD
can also accept input in radians.
In Degree angle mode:
1.5 ó 4 DD ¸ 1.5 ó
45
ó
22'14.3"
4
DD
¸
45.370 ...
ó
{45
ó
22'14.3",60
ó
0'0"}
4
DD
¸
{45.370 ... 60}
¡
In Radian angle mode:
1.5
4
DD
¸
85.9
ó
4
Dec
MATH/Base menu
integer1
4
Dec
⇒
integer
Converts
integer1
to a decimal (base 10) number. A
binary or hexadecimal entry must always have a 0b
or 0h prefix, respectively.
0b10011
4
Dec
¸
19
0h1F
4
Dec
¸
31