Hey guys im trying to learn implicit differentiation however I'm having some issues. Im trying to figure out when to use dy/dx or when to use yprime. Also im not sure which of the variables im supposed to use dy/dx with or yprime with.

Heres a couple examples

1. 2y - x / y^2 - 3 = 5

2. x + y / 2x - y = 1

I dont just need the answers I need to know why im using dy/dx or yprime and where to use each one correctly. Thanks so much guys.