Tool to compute extrema of a function. The extremum value of a function is the minimal or maximal value that can take a function.
Extremum of a Function - dCode
Tag(s) : Functions
dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!
A suggestion ? a feedback ? a bug ? an idea ? Write to dCode!
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 extreme values 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.
An 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 relative/local extremum and an absolute/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/absolute extremum, otherwise it is a local/relative extremum.
What is an extrema?
Extrema is the plural form of extremum (from latin, meaning Extremity).
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 released 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
Version Française
or 
