Derive or differentiate? When the action is: Taking the derivative
what verb should be used?


*

*to differentiate

*to derive
I feel that deriving is not the correct word here. In my mind it's more a synonym of deducing. Am I right or has the word derive got the same meaning as differentiate? Or perhaps differentiate is not a proper English word...? If so, can anyone name a book or article  where the writer(s) (preferably native English speaker(s)) use the word derive to mean differentiate? Or should we always stick to saying: "Take the derivative of..."?
Edit: So from what I can tell, the phrase:  "Derive a method for differentiating this function and write down the resulting derivative.", can only have one meaning. XD

That is a question for a native speaker, I fear.
In German both are used


*

*to differentiate = differenzieren (determing the derivative)

*to derive = ableiten -> Ableitung (derivative)


In English literature, I think I only saw differentiate for the operation. 
In German you can use "Herleitung" to stress more that it is about taking conclusions. In English it is maybe "derivation".
