extremes

Computes the real valued extremes (minima, maxima, and saddle points) for a univariate polynomial.
The computation can be limited to a specific type of extremes.

The main aim is to further facilitate the creation of exercises based on the package 'exams'
by Grün, B., and Zeileis, A. (2009) <doi:10.18637/jss.v029.i10>. Creating effective student exercises
involves challenges such as creating appropriate data sets and ensuring access to intermediate values
for accurate explanation of solutions. The functionality includes the generation of univariate and
bivariate data including simple time series, functions for theoretical distributions and their approximation,
statistical and mathematical calculations for tasks in basic statistics courses as well as general tasks
such as string manipulation, LaTeX/HTML formatting and the editing of XML task files for 'Moodle'.

Sigbert Klinke

exams.forge

Support for Compiling Examination Tasks using the 'exams'
Package

extremes function

<dl><dt>p</dt>
<dd>a polynomial</dd>
<dt>type</dt>
<dd>character: either <code>all</code> (default), <code>minimum</code>, <code>maximum</code>, or <code>saddle</code></dd>
<dt>tol</dt>
<dd>numeric: if the absolute value of the imaginary part of the zeroes of the derivative of <code>p</code> is
smaller than <code>tol</code>, it will be considered as zero</dd></dl>

Arguments

Extremes — extremes

<dl>

<dt>p</dt>
<dd>a polynomial</dd>


<dt>type</dt>
<dd>character: either <code>all</code> (default), <code>minimum</code>, <code>maximum</code>, or <code>saddle</code></dd>


<dt>tol</dt>
<dd>numeric: if the absolute value of the imaginary part of the zeroes of the derivative of <code>p</code> is
smaller than <code>tol</code>, it will be considered as zero</dd>

</dl>

extremes: Extremes

Description

Usage

Value

Arguments

Examples