Section 2-3b The Product Rule

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Presentation transcript:

Section 2-3b The Product Rule

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

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

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

7) Find the derivative of 5

Product Rule Extended Derivatives of more than two factors

8) Differentiate

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

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