Texas Instruments TINSPIRE Reference Guide - Page 129

derivative, integral, q

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d() (derivative) d(Expr1, Var [,Order]) | Var=Value ⇒ value d(Expr1, Var [,Order]) ⇒ value d(List1,Var [,Order]) ⇒ list d(Matrix1,Var [,Order]) ⇒ matrix Except when using the first syntax, you must store a numeric value in variable Var before evaluating d(). Refer to the examples. d() can be used for calculating first and second order derivative at a point numerically, using auto differentiation methods. Order, if included, must be=1 or 2. The default is 1. Note: You can insert this function from the keyboard by typing derivative(...). Note: See also First derivative, page 5 or Second derivative, page 5. Note: The d() algorithm has a limitiation: it works recursively through the unsimplified expression, computing the numeric value of the first derivative (and second, if applicable) and the evaluation of each subexpression, which may lead to an unexpected result. Consider the example on the right. The first derivative of x·(x^2+x)^(1/3) at x=0 is equal to 0. However, because the first derivative of the subexpression (x^2+x)^(1/3) is undefined at x=0, and this value is used to calculate the derivative of the total expression, d() reports the result as undefined and displays a warning message. If you encounter this limitation, verify the solution graphically. You can also try using centralDiff(). ‰() (integral) ‰(Expr1, Var, Lower, Upper) ⇒ value Returns the integral of Expr1 with respect to the variable Var from Lower to Upper. Can be used to calculate the definite integral numerically, using the same method as nInt(). Note: You can insert this function from the keyboard by typing integral(...). Note: See also nInt(), page 68, and Definite integral template, page 5. ‡() (square root) ‡ (Value1) ⇒ value ‡ (List1) ⇒ list Returns the square root of the argument. For a list, returns the square roots of all the elements in List1. Note: You can insert this function from the keyboard by typing sqrt(...) Note: See also Square root template, page 1. Catalog > Catalog > /q keys TI-Nspire™ Reference Guide 123

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TI-Nspire™ Reference Guide
123
d
() (derivative)
Catalog >
d
(
Expr1
,
Var
[
,
Order
]
) |
Var=Value
⇒
value
d
(
Expr1
,
Var
[
,
Order
]
)
⇒
value
d
(
List1
,
Var
[
,
Order
]
)
⇒
list
d
(
Matrix1
,
Var
[
,
Order
]
)
⇒
matrix
Except when using the first syntax, you must store a numeric value in
variable
Var
before evaluating
d
()
. Refer to the examples.
d
()
can be used for calculating first and second order derivative at a
point numerically, using auto differentiation methods.
Order
, if included, must be=
1
or
2
. The default is
1
.
Note:
You can insert this function from the keyboard by typing
derivative(
...
)
.
Note:
See also
First derivative
, page
5
or
Second derivative
, page
5
.
Note:
The
d()
algorithm has a limitiation: it works recursively
through the unsimplified expression, computing the numeric value of
the first derivative (and second, if applicable) and the evaluation of
each subexpression, which may lead to an unexpected result.
Consider the example on the right. The first derivative of
x·(x^2+x)^(1/3) at x=0 is equal to 0. However, because the first
derivative of the subexpression (x^2+x)^(1/3) is undefined at x=0,
and this value is used to calculate the derivative of the total
expression,
d()
reports the result as undefined and displays a warning
message.
If you encounter this limitation, verify the solution graphically. You
can also try using
centralDiff()
.
‰
()
(integral)
Catalog >
‰
(
Expr1
,
Var
,
Lower
,
Upper
)
⇒
value
Returns the integral of
Expr1
with respect to the variable
Var
from
Lower
to
Upper
. Can be used to calculate the definite integral
numerically, using the same method as nInt().
Note:
You can insert this function from the keyboard by typing
integral(
...
)
.
Note:
See also
nInt()
, page 68, and
Definite
integral template
,
page 5.
‡
() (square root)
/q
keys
‡
(
Value1
)
⇒
value
‡
(
List1
)
⇒
list
Returns the square root of the argument.
For a list, returns the square roots of all the elements in
List1
.
Note:
You can insert this function from the keyboard by typing
sqrt(
...
)
Note:
See also
Square root template
, page
1
.