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Student[Calculus1][ExtremePoints] - find the extreme points of an expression
Calling Sequence
ExtremePoints(f(x), x, opts)
ExtremePoints(f(x), x = a..b, opts)
ExtremePoints(f(x), a..b, opts)
Parameters
f(x)
-
algebraic expression in variable 'x'
x
name; specify the independent variable
a, b
algebraic expressions; specify restricted interval for extreme points
opts
equation(s) of the form numeric=true or false; specify computation options
Description
The ExtremePoints(f(x), x) command returns all extreme points of f(x) as a list of values.
The ExtremePoints(f(x), x = a..b) command returns all extreme points of f(x) in the interval [a,b] as a list of values.
If the independent variable can be uniquely determined from the expression, the parameter x need not be included in the calling sequence.
An extreme point is defined as any point which is a local minimum or maximum, which includes any finite end points.
If the expression has an infinite number of extreme points, a warning message and sample extreme points 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 extreme points of the expression. If this option is set to true, the points a and b must be finite and are set to and if they are not provided. By default, the value is false.
Examples
See Also
Student, Student[Calculus1], Student[Calculus1][Asymptotes], Student[Calculus1][CriticalPoints], Student[Calculus1][CurveAnalysisTutor], Student[Calculus1][FunctionChart], Student[Calculus1][InflectionPoints], Student[Calculus1][Roots]
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