1. Let $f(x)$ and $g(x)$ be given by the following graphs.
    MATH

    Estimate each of the following as closely as possible.
     

      a)  $f\circ g(1).$

      MATH
       

      b)  The average rate of change of $f$ from $x=-1$ to $x=3.$
       

      MATH
       

      c)  $f^{\prime }(2)$

      MATH
       

  1. Find the indicated limit.
      2. a)  MATH
      MATH

      MATH

      MATH

      MATH

      b)  MATH
      MATH
       

  2. Consider the graph of $f(x)$ drawn below.

    3. MATH
      a)  Find $\left( i\right) $MATHMATHMATHand MATH
      MATH

      b)  Find $\left( i\right) $MATHMATHMATHand MATH
      MATH

      c)  Find $\left( i\right) $MATHMATHMATHand MATH
      MATH
       

  3. Suppose that MATH and $h(2)=1$ and MATH$\ $Find $f\,^{\prime }(2).$

    4. MATH
     
  4. For the graph of the function $f(x)$ drawn below, carefully sketch the graph of its derivative on the axes beneath it.

    5. MATH

     
  5. a)  Let MATH Find $f\,^{\prime }(0).$
      6. MATH
       
    b)  Let MATH$\ $Find $f\,^{\prime }(1)$
      MATH
This document created by Scientific WorkPlace 4.0.