Hello

I am getting a little confused with the notation used in books. Especially when something has already been differentiated or if I need to find the derivative. What is the proper notation that separates the two?

i.e if you differentiated something how would you write it to show that the operation has already been carried out Vs showing a term that you need to find the derivative of. If that make sense?

Most of what i have seen is Leibniz's notation.