MA 141-01 Questions about Reading

Last updated 11/29/04

Section Number
Date Assigned
Date Due
Questions
Chapter 1
Chapter 1 Question Archive
Chapter 2
Chapter 2 Question Archive
3.1
10/11/04
10/12/04
  1. Explain why the Sum Rule is reasonable.
  2. What is the relationship between the Sum Rule and the Difference Rule?
3.2
10/12/04
10/14/04
  1. How does the product rule differ from the sum rule? How does it differ from what you might expect (or hope!)?
  2. The quotient rule includes a subtraction in the numerator. How will you remember what is subtracted from what?
3.3
10/19/04
10/21/04
Read each example. We will do several examples on Thursday, but no questions are due.
3.4
10/21/04
10/25/04
  1. Which trigonometric functions pick up a minus sign in their derivatives?
3.5
10/25/04
10/26/04
  1. When does the Chain Rule apply?
  2. How will you remember the difference between the Power Rule (for xa) and the Exponential Rule (for ax)?
3.6
10/27/04
10/28/04
  1. When do we need to use implicit differentiation?
  2. Which of our Derivative Rules allows us to do implicit differentiation?
  3. What is the technique for implicit differentiation?
3.7
10/30/04
11/1/04
  1. What is the derivative of velocity called?
  2. What is n! and why is it useful?
3.8
11/1/04
11/2/04
  1. What is the derivative of ln|x|?
  2. If f is a function, what is the derivative of ln(f(x)?
  3. When is logarithmic differentiation useful?
3.10
11/2/04
11/4/04
There are no assigned questions; just be sure to read all of the examples carefully.
3.11
11/4/04
There are no assigned questions.
4.1
11/5/04
11/8/04
There are no assigned questions.
4.2
11/8/04
11/9/04
  1. State the Mean Value Theorem in your own words.
  2. What is the difference between the Mean Value Theorem and Rolle's Theorem?
4.3
11/10/04
11/11/04
  1. What is the relationship between the first derivative and whether a function is increasing or decreasing?
  2. Why does a positive second derivative indicate that a function is concave up?
4.4
11/18/04
11/19/04
  1. How do we deal with indeterminate forms of type 0· ∞?
  2. How will you remember that L'Hôpital's rule is different from the quotient rule?
4.5
11/19/04
11/22/04
No assigned questions.
4.6
11/19/04
11/22/04
No assigned questions.
4.7
11/22/04
11/23/04
No assigned questions, but be sure to read the examples carefully.
4.10
11/23/04
11/29/04
  1. What is an antiderivative?
  2. How will you keep straight whether what you want is a derivative or an antiderivative?
5.1
11/29/04
11/30/04
What is the relationship between the area problem and the distance problem?
5.2
11/30/04
12/2/04
  1. What is a definite integral?
  2. What does the book mean by "net area"?