Hey I have an exam tomorrow and I cant understand this things.. Help me please ..

1: Derivative using the limit concept
2: Determine a Derivative using the theorems.
3:Evaluate velocity at the beginning and at the end
4: Using implicit derivation and find the normal and the tangent.

Thanks a lot as you can see i need an explanation to how to get this things I kinda know how but I want to make sure thank you^^
And also some examples. Thanks again

This would take pages. Sorry. I assume you have a text, so use it.