Calculus I
Quiz #10
November 20, 2002
Name____________________________
R.  Hammack     
Score ______
(1) Simplify the following expressions.
(a)   [Graphics:Images/quiz10sol_gr_1.gif][Graphics:Images/quiz10sol_gr_2.gif]

(b)    [Graphics:Images/quiz10sol_gr_3.gif][Graphics:Images/quiz10sol_gr_4.gif]

(c)    [Graphics:Images/quiz10sol_gr_5.gif]x

(d)   [Graphics:Images/quiz10sol_gr_6.gif][Graphics:Images/quiz10sol_gr_7.gif]
(e)   [Graphics:Images/quiz10sol_gr_8.gif]0


(2)   [Graphics:Images/quiz10sol_gr_9.gif][Graphics:Images/quiz10sol_gr_10.gif]

(3)   [Graphics:Images/quiz10sol_gr_11.gif][Graphics:Images/quiz10sol_gr_12.gif]

(4)   [Graphics:Images/quiz10sol_gr_13.gif][Graphics:Images/quiz10sol_gr_14.gif]

(5)  [Graphics:Images/quiz10sol_gr_15.gif] [Graphics:Images/quiz10sol_gr_16.gif]   (solution below)

Since this is neither an exponential nor a power function, we use logarithmic differentiation.
[Graphics:Images/quiz10sol_gr_17.gif]
[Graphics:Images/quiz10sol_gr_18.gif]
[Graphics:Images/quiz10sol_gr_19.gif]

[Graphics:Images/quiz10sol_gr_20.gif]

[Graphics:Images/quiz10sol_gr_21.gif]

[Graphics:Images/quiz10sol_gr_22.gif]

[Graphics:Images/quiz10sol_gr_23.gif]