Derivatives produts, chain and rule

Question

If , find .  Find .

Answer 1

Let u = t² + 3t + 3 so u' = 2t + 3

Let v = 6t² + 6 so v' = 12t

So f(t) = u•v

By the product rule, f '(t) = u'v + uv' so just put the pieces together from the above. After you are done. plug in 2 to get f'(2). The answer will be 522.