User Guide

To compute the n
th
derivative of an expression f in the independent variable
t, you can use the syntax .
For example:
>
Differentiating an Operator
You can also specify a mathematical function as a functional operator (a
mapping). For a comparison of operators and other expressions, see Distinc-
tion between Functional Operators and Other Expressions (page 293).
To find the derivative of a functional operator:
Use the D operator.
The D operator returns a functional operator.
For example, find the derivative of an operator that represents the mathem-
atical function .
First, define the mathematical function as the operator F.
1. In the Expression palette, click the single-variable function definition
item .
2. Enter placeholder values.
To move to the next placeholder, press the Tab key. Note: If pressing
the Tab key inserts a tab, click the Tab icon in the toolbar.
>
Now, define the operator, G, that maps to the derivative of .
158 4 Mathematical Computations