PRACTICE VERSION OF QUIZ #2   (WARREN D. SMITH, MATH 75 = CALC I)
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Find a formula for the derivative of the following functions of x:

       
1.   sin(ln( (x+3)(x+7) ))


2.   cos( tan(x) + x )


3.   sin(x)/x

               2
4.   exp( 5 + x  )  x


5.  log  ( 7 + x )
       3

Find the values of the following limits

6.     exp(x) - 1 - x
 lim  --------------
x-->0        2
            x

7.     ln(x) + 1 - x
 lim  --------------
x-->1        2
            x

8.                exp(x)
 lim              ------
x-->infinity         3
                    x


9. Find the (x,y) coordinates of all the
local mins, local maxes, roots, and inflection points of
                       3    2
the polynomial   y  = x  + x  - 3x + 2.  
Note:  finding root (meaning, x where y(x)=0) to 2 decimal places 
accuracy is good enough, and Newton's method is one way to try to do that.

10. What is the linear approximation to  y = sin(pi x)+ln(x)
in the neighborhood of x=1?