Calculus I
Quiz #7
   
October 21, 2002
Name____________________________
R.  Hammack     
Score ______


(1) Find the derivatives of the following functions.

(a) [Graphics:Images/quiz7sol_gr_1.gif]  [Graphics:Images/quiz7sol_gr_2.gif]


(b)  [Graphics:Images/quiz7sol_gr_3.gif] [Graphics:Images/quiz7sol_gr_4.gif]

[Graphics:Images/quiz7sol_gr_5.gif]


(c)   [Graphics:Images/quiz7sol_gr_6.gif]
[Graphics:Images/quiz7sol_gr_7.gif]
[Graphics:Images/quiz7sol_gr_8.gif]
[Graphics:Images/quiz7sol_gr_9.gif]
[Graphics:Images/quiz7sol_gr_10.gif]
[Graphics:Images/quiz7sol_gr_11.gif]


(2)   In this problem,  f  and g are functions satisfying the following table.    

x
[Graphics:Images/quiz7sol_gr_12.gif]
[Graphics:Images/quiz7sol_gr_13.gif]
[Graphics:Images/quiz7sol_gr_14.gif]
[Graphics:Images/quiz7sol_gr_15.gif]
3
5
-2
5
7
5
3
-1
12
4

  (a) Suppose [Graphics:Images/quiz7sol_gr_18.gif].   Find [Graphics:Images/quiz7sol_gr_19.gif].
[Graphics:Images/quiz7sol_gr_20.gif]
[Graphics:Images/quiz7sol_gr_21.gif]


(b) Suppose [Graphics:Images/quiz7sol_gr_22.gif].    Find [Graphics:Images/quiz7sol_gr_23.gif].
[Graphics:Images/quiz7sol_gr_24.gif]
[Graphics:Images/quiz7sol_gr_25.gif]

(3) Find the slope of the tangent line to the graph of   [Graphics:Images/quiz7sol_gr_26.gif]  at the point where  [Graphics:Images/quiz7sol_gr_27.gif].
[Graphics:Images/quiz7sol_gr_28.gif]
Slope = [Graphics:Images/quiz7sol_gr_29.gif]