Sentence Correction

which is the correct usage??

differentiate x from y
differentiate between x and y
differentiate x and y

A. differentiate X from Y .

It can not differentiate between , either its differentiate OR its between X and Y but both can not be together .

And you differentiate some thing FROM the other . You dont say differentiate Quantity A and Quantity B.

I hope this helps .

dictionary says both "from" and "between" are ok

differentiate (someone or something) from (someone or something else): differentiate X from Y
differentiate between (someone or something and someone or something else): differentiate between X and Y

a similar idiom is distinguish, and both "from" and "between" ok as well.

distinguish X from Y
distinguish between X and Y