Solve problems using calculus methods demonstrated in this course. Show all work to justify your answers. Write any application answers in sentences with proper units. All answers should be exact and simplified unless it makes sense to do otherwise. 1. Find f'(x) a) f(x) = 2e* - 10x5 + 39 b) f (x) = (x) c) f( x) = x805x 2. A marketing specialist determines that when a certain product is released, the number of social media references to it can be modeled by f(t) = 850 + 458In(t) where t is the number of days since the release. a) Determine f'(t) = b) Find f'(16) and write the interpretation of this result