1. 3.1 Polynomial & Exponential Derivatives

2. Constant Rule:
Power Rule:

3. Find f’(x):
Ex 1:

4. Find points on the curve where the tangent line is horizontal:
Ex 2:

5. Natural Exponential Function:

6. Ex 3: At what point on the curve y = ex, is the tangent line parallel to the line y = 2x?

7. 3.2 Product Rule & Quotient Rule

8. Product Rule:

9. Quotient Rule:

10. Find f  (x)
Ex 1:

11. Ex 2: If
where g(4) = 2 and
g(4) = 3, find f (4).

12. Find the equation of the tangent line to f(x) at (1, e2):
Ex 3:

13. HW – 3.1 pg #3 – 31 odd #39, 45, pg. 195 # odd, 27, 31, 33, 38

14. Definition of e:
the number such that

15. Definition of e:
the number such that