1. The Product and Quotient Rules
Section 3.2

3. Example 1, product rule (a) If f (x) = xex, find f (x).
(b) Find the nth derivative, f (n)(x).
Solution:
(a) By the Product Rule

4. Example 1 – Solution f (x) = (x + 3)ex f (4)(x) = (x + 4)ex
To generalize,
f (n)(x) = (x + n)ex

5. Example 2, product rule

6. Example 3, quotient rule

7. Example 4, Tangent Line
Find the tangent line to the curve at the point (1, ½ e)
Horizontal at (1, ½ e)

9. 3.2 The Product and Quotient Rules
Summarize Notes
Read section 3.2
Homework
Pg.189 #3-34 (odd),41-43