Hey guys, I have a couple questions on derivatives, since I just started.

Question 1.

I have a question which said differentiate v=(square root x + 1/3square root)^{2}, I got the derivative eventually, but when I tried chain rule once I learnt it, it gave me a totally different answer? So when it says "differentiate" do I just do all the algebra and eventually get the derivative and then for chain rule I only use it when it says find the derivative?

Question 1.

Derivative of such quantities as 2(x+1), x^{3}(2x+1)

Do I just foil through it, then find the derivative or is it like the chain rule?

Thank you.