1. Section 2-3b The Product Rule

2. The Product Rule
The product of two differentiable functions f and g is itself differentiable. Moreover, the derivative of fg is the first times the derivative of the second, plus the second times the derivative of the first
(fg) '(x) = f(x) g '(x) + g(x) f '(x)
Proof pg 119

3. 5) Find the derivative of
a) Simplify then Differentiate
b) Differentiate then simplify 3

4. 6) Find the derivative of
a) Differentiate then simplify
b) Simplify then Differentiate 4

5. 7) Find the derivative of5

6. Product Rule Extended
Derivatives of more than two factors

7. 8) Differentiate

8. Homework
Page 126 # 1-6, 13,17,35,36, and 52