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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).

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?

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

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