Thank you!

1. Consider this function: f (x) = (m2 + 4) - (3:3 3:). 1. Expand the product to show that x) is a polynomial. Then, take the derivative of that polynomial using the derivative rules we learned mgrevious topi_c. 2. Now, instead directly apply the Product Rule to nd f' (x). 3. Write a couple of sentences describing your experience with these two methods. Was either one easier/faster to use? What did you learn from nding this derivative in two different ways? 2. Repeat the previous problem but with the function g (3:) = \"g and the Quotient Rule instead. That is, rst T. simplify the function by factoring and canceling, and then nd the derivative 9' (at). Second, apply the Quotient Rule to nd the derivative 9' (at). And third, write a little bit about what you learned from doing this