Student[Calculus1] - Maple Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Education : Student Package : Calculus 1 : General : Special Points : Student/Calculus1/Roots

Student[Calculus1]

  

Roots

  

find the real roots (zeros) of an expression

 

Calling Sequence

Parameters

Description

Examples

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 lhsfxrhsfx, 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 0 (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.

  

 

  

numeric = true or false

  

Whether to use numeric methods (using floating-point computations) to find the roots of the expression. If this option is set to true, the points a and b must be finite and are set to 10 and 10 if they are not provided. The default value of this option is determined by the numeric values in the expression fx: If any of these numeric values is a floating point number (has a decimal point), then this option defaults to to true.  Note: If the numeric option is in effect, then the command does not warn about an infinite number of roots.

Examples

withStudent[Calculus1]:

Roots3x2x,x

0,13

(1)

Rootssinx,0..10

0,π,2π,3π

(2)

Rootssin1.0x,1..1

0.3183098862,0.1591549431,0.1061032954,0.07957747155,0.06366197724,0.05305164770,0.03978873577,0.02448537586,0.009947183943,0.004973591972,0.01989436789,0.03536776513,0.05305164770,0.06366197724,0.07957747155,0.1061032954,0.1591549431,0.3183098862

(3)

Roots2x3+5x2=4x,x

541457,0,54+1457

(4)

Rootsx23x+1x

32125,32+125

(5)

Rootsx23x+1x=0,numeric

0.3819660113,2.618033989

(6)

See Also

Roots

Student

Student[Calculus1]

Student[Calculus1][Asymptotes]

Student[Calculus1][CriticalPoints]

Student[Calculus1][CurveAnalysisTutor]

Student[Calculus1][ExtremePoints]

Student[Calculus1][FunctionChart]

Student[Calculus1][InflectionPoints]

Student[NumericalAnalysis][Roots]

 


Download Help Document

Was this information helpful?



Please add your Comment (Optional)
E-mail Address (Optional)
What is ? This question helps us to combat spam