1. MAT 1234 Calculus I Section 2.1 Part II Derivatives and Rates of Change

2. HW WebAssign HW 2.1 II Be sure to read the instructions carefully. Turn in the written HW at the end of your handout.

3. What do we care? How fast “things” are going The velocity of a particle The “speed” of formation of chemicals The rate of change of charges in a capacitor

4. Recall

6. So…in a chemical reaction

7. Definition (rephrase)

8. Definition (New Notation)

9. Example 1 Compare the values of 1 2 3 0

10. Example 1 Compare the slopes of the tangent lines at 1 2 3 0

11. Example 2

12. Example 2(a) What is the meaning of ?

13. Example 2(b) What is the meaning of

14. Example 2(c) How to determine the units (mg/hour)?

15. Example 3 (a) Find if (b) Find

16. Example 3 (a) Find if

17. Example 3 (a) Find if (b) Find

18. Remarks

19. Classwork Hint #2 Do NOT expand the denominator

20. Quiz Please take a look at the grader’s comments Some of you did really well Some of you have a lot of room to improve !!!! Explaining your work clearly and carefully is VERY important It is not too late to get help