Questions 1-2: Calculate the following limits if they exist. Note: You C L'Hopital's Rule to solve any of these limits. (6pts each) x2 - 2x 1) lim x 12 X 2 4 X - 6 3x3 - x+7 2) lim - X-100 - 9x3 - 5x2 + 6 Questions 3-5: Differentiate the following functions. (7 pts each) 3 ) f (x ) = (2x3 - 3x2+7)3 4) Let g (x) = In(2x4 - 3e-4x) In x 5 ) g ( x ) = 73 x3 , determine g'(e) 6) Determine f'(1) for the function below: (10 pts) xe - 3x f (x) = In (2x + 1) 2 (x - 2) 3 7) Determine the slope of the graph of x3 + 2xy + exy = 2 at (1,0). (10 pts