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Calculus I                                                         Quiz # 6                              October 24, 2003

Name____________________                   R.  Hammack                                          Score ______
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(1) (10 points) Find derivatives of the following functions.

(a) f(x) = tan((x^2 + 4)^(1/2))


(b)  g(x) = sin(x) (3x + 4)



(c) d/dx[4sec(x) + 1/x + 3^(1/2)] =



(2) (5 points) Consider the function f(x) = x^3 + 5. Find the equation of the line tangent to the graph of y = f(x) at the point (1, f(1)).

 





(3)  (5 points) The graph of a function  f (x)  is sketched below.    If G(x) = (x + 2f(x))^(1/2),  find G ' (0)

[Graphics:HTMLFiles/quiz6sol_16.gif]