How to define a noncommutative derivative

[luxxio]

first of all, i don't know if this is the correct place to post this topic, if no tell me.

My question is, i have a definition of derivative that can not be applied to a noncommutative space. How i can define a derivative in a noncommutative space?

thank you.

 

[g_edgar]

What is an example of a "noncommutative space" where you wish to do this?

 

[luxxio]

What is an example of a "noncommutative space" where you wish to do this?

k-poincarè... [X_i,X_j]=\theta_{ijk}X_k