. The profit for a particular company over a 4 year time span could be modeled by P(t) =In(t2+4)+3 0 g tg4 where P is measured in millions of dollars and t in years. (a) Demonstrate the chain rule by finding P'(t). (b) Rewrite P'(t) in power form, then demonstrate the product rule to find P\"(t). Write out the first and second functions and their derivatives to show the work of finding P\"(t). Do not simplify the result. Notate your answer. (c) Find P\"(1.8) and P\"(2.2). Write a sentence to explain what you can deduce from these results about the rate at which the company's profit is growing near the time when t = 2