Math 127 - Calculus I - Fall 98 Quiz 9

1. (2 points) Which of the following is the same as

   (a)
   (b)
   (c)
   (d) None on the above

   Answer: (d)

2. (2 points) Which of the following is the same as

   (a)
   (b)
   (c)
   (d) None on the above

   Answer: (a)
   

3.   (3 points) The derivative of is equal to:

   (a)
   
   (b)
   
   (c)
   
   (d)
   
   (e)

   Answer: (b)
   Using the algebraic properties of ln we get the equality

   

   Differentiating, we get

   

4. (3 points) The derivative of is equal to:

   (a)
   
   (b)
   
   (c)
   
   (d)
   (e) None of the above

   Answer: (c)
   We use logarithmic differentiation

   

   and Question 3. We let . The derivative of ln(f(x)) is computed in Question 3. Hence, the derivative of f(x) is given in part (c).