For your first question 1, it's probably simplest to use the chain rule. If you multiply it out and then take the derivative, you should get the same result. If you show us how you got two different answers, we can probably show you where you went wrong. "Differentiate" and "find the derivative" mean exactly the same thing.
For your second question 1, I would multiply them out and then just take the derivative term-by-term. You could use the product rule on the second one, but that's probably harder.