1. AP Calculus/Cal culus 2A, 2B

2. Think – Pair – Group Share – Whole class Share

3. UNIT 2: DERIVATIVES & DIFFERENTIATION  I. DERIVATIVES AND TANGENT LINES (2A, 2B)

4. A. OBJECTIVE: Find the slope of a tangent line on a curve at a point.

5. Find the secant line using the given information:

6. Note: The closer the chosen point is to the given point, the better the approximation gets.

7. If we want the x-value to get closer and closer to “a”, that means “h” has to get closer and closer to 0.

8. Materials needed: Whiteboard Whiteboard marker Eraser

9. Discuss and use whiteboards: What is the difference between the secant line and tangent line?

11. What is a Tangent line?

12. What is the difference between the secant line and tangent line? Secant lineTangent line

13. B. All about the Derivative Finish the sentence: 1. The secant’s slope is the ______________ 2. The tangent’s slope is the ________________

15. Note:  Differentiation is the process.  Derivative is the answer.

16. (AP Question) Find the equation of the tangent line to the curve that is parallel to the line 4x-2y=3.

17. Equal your derivative to the slope.

19. Take out your homework and your supplies

20. C. Normal Lines A normal line is another name for a perpendicular line to the tangent.

21. Note: The normal slope is -1/ the tangent slope

32. Homework due Thursday: Find the derivative with respect to x. Use complete sentences that include the rules, properties and specific steps that you used.