Search for a tool
Third Derivative

Tool for Third Derivative calculation f''', so 3 times the application of the derivation to a function, a triple derivation on the same variable.

Results

Third Derivative -

Tag(s) : Functions

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 dCode Discord community for help requests!
NB: for encrypted messages, test our automatic cipher identifier!

Thanks to your feedback and relevant comments, dCode has developed the best 'Third Derivative' tool, so feel free to write! Thank you!

# Third Derivative

## Third Derivative Calculator

### How to calculate a third derivative?

The third derivative (or 3rd order derivative/differentiation) is the application of the derivative on the second derivative of a function (which is itself the application of the derivative to the first derivative of the function).

Example: $$f(x) = x^3+\sin(x) \\ \Rightarrow f´(x) = 3 x^2+\cos(x) \\ \Rightarrow f´´(x) = 6x - \sin(x) \\ \Rightarrow f´´´(x) = 6 - \cos(x)$$

### What can be a third derivative for?

In physics, the third derivative can be used to characterize the jerk, the variation of the acceleration, it is the derivative of the acceleration with respect to time. It can be studied to assess comfort in transport.

### How to write a third derivative?

A third derivative can be written either $f´´´(x)$, or $f^{(3)}(x)$, or $\frac{d^3f}{dx^3}$.

On dCode always use f ' ' ' especially for differential equations.

### Which functions do not have a third order derivative?

All the non-continuous and / or non-derivable functions (in at least one point of their domain of definition) have no derivative and therefore have no second derivative or third derivative.

## Source code

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

## Need Help ?

Please, check our dCode Discord community for help requests!
NB: for encrypted messages, test our automatic cipher identifier!