Negative Derivative: Learn Meaning & Examples

[EngWiPy]

Hello,

What negative derivative means like this one:

$$\frac{\partial^{-1}}{\partial\,x^{-1}}$$

Regards

 

[HallsofIvy]

I honestly have never seen such a notation but I would suspect the "inverse" derivative is the anti-derivative or indefinite integral. (I have seen this written "D^-1 f" for anti-derivative.)

 

[Enjoicube]

Maybe you should investigate it through fractional calculus: http://en.wikipedia.org/wiki/Fractional_calculus.

See whether the negative derivative is an inverse?