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Calculus I                                                                  Quiz # 5                                  October 13, 2003

Name____________________                           R.  Hammack                              Score ______
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(1) In this problem,  .

(a) Use the limit definition of the derivative to find .

  
  
  


(b) Using your answer from part a above, find the slope of the tangent to the graph of at the point .  (You should not need to use a limit to do this part.)

slope = f '(2) =


(2)  The graph of a function  f (x)  is sketched below. Using the same coordinate axis,  sketch a graph of the derivative f '(x).

Using the fact that f '(x) = slope of tangent to y=f(x) at (x,f(x)), we get the following graph of y = f '(x), sketched in bold.