1.

Let F = 12 In(x). Then f'(x) is and f' (3) is f"'() is and f"(3) isDifferentiate f(w) = 3 7w+4 f' (w) =\fIf f( w) = 6 In w - 36 find f'(w). Use exact values. f' (w) =Let x] = 31? + 13 156:. Then the equation of the tangent ne to the graph of at] at the point (D, 2]1'5 given by y = me! + I} for m=| | b = I: i| The population of Toledo, Ohio, in the year Z 1was approximately 4?,Dl}. Assume the population is increasing at a rate of 5.4 :5 per year. a. Write the exponential function that relates the total population, PH], as a function of t, the number of years since 2000. Pm= |. .| b. Use part a. to determine the rate at 1which the population is increasing in t years. Use exact expressions. P'lt] = I I people per year c. Use part b. to determine the rate at which the population is increasing in the year 2022. Round to the nearest person per year. 13122] = I I people per year ll. marketing specialist determines that when a certain product is released, the number of social media references to it can be modeled by t] 2 EDD + 31og5{t} where t is the number of days since the release. mm = E 1|.I'll'hich of the following is the best interpretation of g) 2 EM? Select an answer V 1|.I'll'hich of the following is the best interpretation of 3" [9]? Select an answer V Select an answer On day 234. there are 9 references. The rate at which the number of references is increasing after Fl days On day 2. There are 201 references. On day 234. '3 products are sold. On day 2. 201 products are sold. The day on which the number of reference sis increasing by El per day On day 9. 204 products are sold