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Calculus I                                                          Quiz #5                            March 16, 2004

Name____________________                   R.  Hammack                              Score ______
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(1)
Use the limit definition of the derivative to find the derivative of the function  f(x) = x^(1/2).

 

 



 


(2)  
Use your answer from Question 1 to find the slope of the tangent line to the graph of the function f(x) = x^(1/2)
at the point where x = 9. (You do not need to use a limit to answer this question.)

 

 



(3)   Use your answer from Question 2 to find the equation of the tangent line to the graph of the function f(x) = x^(1/2)
at the point where x = 9. Please put your final answer in slope-intercept form.