Search for a tool
Extremum of a Function

Tool to compute extrema of a function. The extremum value of a function is the minimal or maximal value that can take a function.

Results

Extremum of a Function -

Tag(s) : Functions

dCode and you

dCode is free and its tools are a valuable help in games, puzzles and problems to solve every day!
You have a problem, an idea for a project, a specific need and dCode can not (yet) help you? You need custom development? Contact-me!


Team dCode likes feedback and relevant comments; to get an answer give an email (not published). It is thanks to you that dCode has the best Extremum of a Function tool. Thank you.

Extremum of a Function

Sponsored ads

Extremum Calculator




Tool to compute extrema of a function. The extremum value of a function is the minimal or maximal value that can take a function.

Answers to Questions

How to calculate a extremum?

To find the extremum of a function (the highest or lowest points on the interval where the function is defined), first calculate the derivative of the function and make a study of sign.

The extremum of a function is reached when it's derivative is equal to zero and changes of sign.

A minimum of a function \( m \) (lowercase m) exists when, for all \( x \), \( f(x) >= m \) is greater than or equal to a minimum \( m \).

Example: The polynomial \( f(x) = x^2 \) defined over \( \mathbb{R} \), the function has a minimum in \( x=0 \) and \( f(x) >= 0 \) over its domain of definition \( \mathbb{R} \).

A maximum of a function \( M \) (uppercase M) exists when for all \( x \), \( f(x) <= M \) is less than or equal to the maximum.

What is the difference between a local extremum and a global extremum?

An extremum of a function is necessarily defined on an interval. If the interval is the entire domain of definition of the function then it is a global extremum, otherwise it is a local extremum.

What is an extrema?

Extrema is the plural form of extremum (from latin, meaning Extremity).

Ask a new question

Source code

dCode retains ownership of the source code of the script Extremum of a Function online. Except explicit open source licence (indicated Creative Commons / free), any algorithm, applet, snippet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in any informatic langauge (PHP, Java, C#, Python, Javascript, Matlab, etc.) which dCode owns rights will not be given for free. To download the online Extremum of a Function script for offline use on PC, iPhone or Android, ask for price quote on contact page !

Questions / Comments


Team dCode likes feedback and relevant comments; to get an answer give an email (not published). It is thanks to you that dCode has the best Extremum of a Function tool. Thank you.


Source : https://www.dcode.fr/extremum-function
© 2018 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaches. dCode
Feedback