_______________________________________________________________________
Calculus I                                                          Quiz #6                            October 22, 2004

Name____________________                   R.  Hammack                              Score ______
_______________________________________________________________________

(1) Find derivatives of the following functions.
  
(a)  f(x) = 3x^4 + π x^2 - x + 4
       


(b)   f(x) = x^2/(x + 1)

         


(c)  f(x) = 3^(1/2) + 1/x^3

        

(2)   If y = x^(1/2), find (d^2y)/dx^2.

        

(3)  Suppose functions f and g and their derivatives obey the following table. x f(x) f ' (x) g(x) g ' (x) 0 0 1 ... 2 1 2 2 -2 3 2 1 -2 -1 5
If    h(x) = 3f(x) + f(x) g(x),    find h ' (2).



(3)   Find the values of x  at which the slope of the tangent to the graph of y = 2x^3 - 3x^2 + 4  is horizontal.