Search for a tool
Critical Point of a Function

Tool to find the critical points of a function, corresponding to the critical values where the derivative is zero or not defined.

Results

Critical Point of a Function -

Tag(s) : Functions

Share
Share
dCode and more

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!


Please, check our community Discord for help requests!


Thanks to your feedback and relevant comments, dCode has developped the best 'Critical Point of a Function' tool, so feel free to write! Thank you !

Critical Point of a Function

Sponsored ads

Critical Point Calculator



Tool to find the critical points of a function, corresponding to the critical values where the derivative is zero or not defined.

Answers to Questions

What is a critical point? (Definition)

A critical point is a point of a function where the gradient is zero or not defined (the derivative is equal to 0 or the derivative is not real). A critical point is similar to a stationary point (except for the undefined part) its value maybe maximum / minimum local / global.

How to calculate critical points?

From the function $ f $, calculate its derivative $ f '$ and look at the critical values for which it cancels $ f'(x) = $ 0 or the values for which it is not defined (see domain derivability).

Example: The square root function $ f(x) = \sqrt{x} $ has for derivative $ f'(x) = \frac{1}{2\sqrt{x}} $ which is not defined (over the reals) for $ x <= 0 $, its critical values are therefore all negative numbers (including 0).

What is the difference between a critical point and a stationary point?

A critical point is the union of all the points where the derivative is zero (called stationary points) with all the points or the derivative is not defined (called singular points).

So all stationary points are critical points but not all critical points are stationary points.

Source code

dCode retains ownership of the online 'Critical Point of a Function' tool source code. Except explicit open source licence (indicated CC / Creative Commons / free), any algorithm, applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (PHP, Java, C#, Python, Javascript, Matlab, etc.) no data, script or API access will be for free, same for Critical Point of a Function download for offline use on PC, tablet, iPhone or Android !

Need Help ?

Please, check our community Discord for help requests!

Questions / Comments

Thanks to your feedback and relevant comments, dCode has developped the best 'Critical Point of a Function' tool, so feel free to write! Thank you !


Source : https://www.dcode.fr/function-critical-point
© 2020 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaching / CTF.
Feedback