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Calculus I                                                  Quiz #6                            March 23, 2004

Name____________________             R.  Hammack                          Score ______
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(1) Find the following derivatives.

(a)      f(x) = 3x^3 + 1/x + tan(x) - 4




(b)     d/dx[ x sec(x) ] =



(c)     d/dx[(x^2 sin(x))/(x + 1)] =




(2)  An object moves on a straight line in such a way that its distance from a stationary point at time  t seconds is given by the function f(t) = t^3 - 6t^2 + 6t + 2 feet.  At what time(s)  t  does the object have a velocity of -3feet per second?