Negative Derivative: Learn Meaning & Examples

AI Thread Summary
Negative derivatives, represented as \frac{\partial^{-1}}{\partial\,x^{-1}}, are often interpreted as anti-derivatives or indefinite integrals. This notation is less common and may require further exploration in the context of fractional calculus. The discussion suggests that the concept of a negative derivative could relate to the idea of an inverse operation in calculus. Participants are encouraged to investigate the relationship between negative derivatives and inverse functions. Understanding this notation can deepen comprehension of advanced calculus concepts.
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Hello,

What negative derivative means like this one:

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

Regards
 
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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.)
 

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