Simple Implicit Differentiation

Well, I live in Brazil and even though I'm not a complete wiz in math I have taken the dangerous path of Mathematics Higher Level at school. We follow the IB Curriculum. I have been struggling with calculas lately because I simply do not understand the concept of implicit differentiation. I was hoping someone could help me in a nice and digestible (very easy and slow) way to understand it. Please go slow on me cause I'm not the brightest bulb of the pack.

I don't really get it but okay....

I don't really get it but okay....I've noticed that that whenver you're implicit differentiating you always get dy/dx replacing the y.

Can someone find me a couple of examples to try? Let's see if I get it! Pick an easy one and a not so easy one please!