1.   Differentiate the following:

    1.  

           
           
    2.  

    3.  

           
    4.  

    5.  

           

    6.  
          (Note: Don’t write 33 x 2 - 2 instead.)
           
    7.  

    8.  

           

    9.  

           
  1. Find the equation of the tangent line to the function at the point where x = 2.

  2.  

     

         
        First we find the slope of the tangent line at this point:
         


        So the slope is - 24

        Now we need a point on the tangent line:
         

            When x = 2,. So (2,- 13) is on the tangent line.


        So the equation of the tangent line is:
         


             
             
  3. Let.
    1. Find . (Assume c is constant)

    2.  

           
    3. Find.

    4.  

           
    5. Find . (Assume x is constant)