Student[Calculus1][Roots] - find the real roots (zeros) of an expression
|
Calling Sequence
|
|
Roots(f(x), x, opts)
Roots(f(x), x = a..b, opts)
Roots(f(x), a..b, opts)
|
|
Parameters
|
|
f(x)
|
-
|
algebraic expression or equation in variable 'x'
|
x
|
-
|
name; specify the independent variable
|
a, b
|
-
|
algebraic expressions; specify restricted interval for roots
|
opts
|
-
|
equation(s) of the form numeric=true or false; specify computation options
|
|
|
|
|
Description
|
|
•
|
The Roots(f(x), x) command, where f(x) is an algebraic expression, returns as a list of values points where f(x) is zero.
|
•
|
The Roots(f(x), x = a..b) command, where f(x) is an algebraic expression, returns as a list of values points where f(x) is zero in the interval [a,b].
|
•
|
If f(x) is an equation, this routine finds the roots of the expression , in the specified interval if one is provided.
|
•
|
If the independent variable can be uniquely determined from the expression, the parameter x need not be included in the calling sequence.
|
•
|
A root (or zero) of f(x) is defined as any point at which the value of the expression f(x) is (zero).
|
•
|
If the expression has an infinite number of roots, a warning message and sample roots are returned.
|
•
|
The opts argument can contain the following equation that sets computation options.
|
|
|
Examples
|
|
>
|
|
>
|
|
| (1) |
>
|
|
| (2) |
>
|
|
| (3) |
>
|
|
| (4) |
>
|
|
| (5) |
>
|
|
| (6) |
|
|
Download Help Document
Was this information helpful?