1. A function / and its derivative / | takes the following values, Ing is the inverse of / , find g (3): None of the above Page 2. If ((x) = x" + 2x, then the slope of the line tangent to f " at the point (12, 2) is A. 12 B. 108 C. 1/12 D. 1/14 E. -1/14 F. None of the above 3. Suppose that / has an inverse and /(-4) = 2./ (-4) = =. Ifg = 7-5. what is g'(2)? A. 40 B. - D. - E. 2 F. None of the above 1. If / (X) = e"", find the slope of the tangent line to / - atx = 1. A. 1 B. 2 L. D. V E. F. None of the above 5. Let f be the function defined by / (x) = x" + 2x + 9. The point (1,12) lies on the graph of /. If g(z) =/-*(x), find g' (12). A. 1/11 B. None of the above 5. Find the equation of the tangent line to / (3) = 10-j are - 0 F. None of the above7. Find the slope of the normal line to / (x) = 3"" atx = 0. A. 0 B. In(3) C -In(3) D. 1/ In(3) E. -1/In(3) F. None of the above 8. Which of the following is true about the function / (x) = re-"? A. (-1,1/e) is local minimum for / (x). B. (1,1/e) is local maximum for / (2). C. (-1.1/e) is local maximum for / (x). D. (1,1/e) is local minimum for / (x). E. (1, e) is local minimum for / (x). F. None of the above 9. Find the 20%% derivative of / (x) = e" atx = 0. B. 210 C. 220 D. 221 E. 27 F. None of the above 10. Find atr = 1, if er+) = 3 A. In ( 3) - 1 B. In(3) CI- h(3) D. E. e In (3) F. None of the above