1. Draw a Few Diagrams of What It Means for a Line to Be Tangent to a Curve

Mr. Daniel J. Lynch

AP Calculus AB

§2.1 Reading Assignment

1. Draw a few diagrams of what it means for a line to be tangent to a curve.

2. Write the definition of a Tangent Line with slope m.

3. Copy down Example 2.

4. Find the bold-faced word “differentiation”, and explain its meaning.

5. What type of special tangent line is implied by or

6. Write all of the notations shown for the derivative of y = f(x).

8. Copy down Example 3.

9. Write out the “Alternate Form of the Derivative”.

10. What can be said about the relationship between Continuity and Differentiability? Does one require the other? Does one guarantee the other? Explain.

Mr. Daniel J. Lynch

AP Calculus AB

§2.2 Reading Assignment

1. Write out the Constant Rule, the Power Rule, Constant Multiple Rule, Sum and Difference Rules, and Rules for Sine and Cosine.

2. Consider Example 2, show how to find the derivative of , and .

3. Show what Average Velocity is.

4. Velocity can be said to be a ______of ______of a position function.

5. Write a limit definition of a Velocity Function.

6. Write the general position function for a free falling object, then rewrite it with feet as your units on earth.

Mr. Daniel J. Lynch

AP Calculus AB

§2.3 Reading Assignment

1. State the Product Rule.

2. Write out Example 1 & 2.

3. State the Quotient Rule.

4. Write out Example 4.

5. State the remaining 4 trigonometric functions.

6. What is meant by Higher Order Derivatives? Show all notations.

7. What is the relationship between the concepts of position, velocity and acceleration?

Mr. Daniel J. Lynch

AP Calculus AB

§2.4 Reading Assignment

1. How are the following two functions different? and

2. State the two different notational forms of the Chain Rule.

3. Write out Example 3.

4. State the General Power Rule.

5. Write out Example 4.

6. State the derivative of each: and

7. Write out Examples 11 & 12.
Mr. Daniel J. Lynch

AP Calculus AB

§2.5 Reading Assignment

1. Explain the difference between implicit and explicit form of a function. Give an example.

2. How are the following two derivatives different? and . Show the derivative of each.

3. Write the 4 step guidelines for Implicit Differentiation.

4. Write out Example 2.

Mr. Daniel J. Lynch

AP Calculus AB

§2.6 Reading Assignment

1. Show what the derivatives of the following equations are, with respect to time (t).

(i.e Find ) ; and .

2. Copy down Example 1.

3. Copy down Example 2.

4. Write down the Guidelines for Solving Related-Rate Problems.

5. Copy down the Verbal Statement/Mathematical Model chart.