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!

This page is using the new English version of dCode, please make comments !

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 know how to find the extremum of a function, one must 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 \( m \) exists when for all \( x \), \( f(x) >= m \) is greater than or equal to a minimum.

Example: Consider \( f(x) = x^2 \) defined over \( \mathbb{R} \), the function has a minimum in \( x=0 \) and \( f(x) >= 0 \) over \( \mathbb{R} \).

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

An extremum of a function is always defined over an interval (that may be the domain of definition of the function).

What is an extrema?

Extrema is the plural form of extremum (from latin)

Ask a new question

Source code

dCode retains ownership of the source code of the script Extremum of a Function. 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, etc.) which dCode owns rights can be transferred after sales quote. So if you need to download the Extremum of a Function script for offline use, for you, your company or association, see you on contact page !

dCode uses cookies to customize the site content, analyze user behavior and adapt dCode to your use. Some data is stored and collected for advertising purposes and may be shared with our partners. OK