How do I distinguish when to use product and chain rule in calc? :(

How do I distinguish when to use product and chain rule in calc? :(
How do I distinguish when to use product and chain rule in calc? 🙁

Being a flat 2-dimensional surface in a structure full of straight lines and angles, I’ve never intuitively grasped calculus, myself. I recommend talking to someone who does, like a tutor at the CFLC on level 2: bit.ly/BC-connors. This conversation on reddit also looked like it might help: bit.ly/calc-chain-product.