1. The Product and Quotient Rules for Differentiation

2. Let’s start with the Product Rule… Leave the first alone Derivative of the second Derivative of the first Leave the second alone

3. Examples… Find the derivative, f ’(x)

6. Examples… Find

7. The Quotient Rule “low d high minus high d low over low low”

8. Examples: Find the derivative of each.

10. Examples… Find the derivative, f ’(x)

11. Given f(3) = -2, g(3) = 4, f ’(3)=5, g’(3) = 7 Find h’(3) if …. h(x) = f(x) + g(x) h(x) = f(x) g(x)

12. Use trig identities to determine the derivative of y = tan (x). Use trig identities to determine the derivative of y = cot (x).

13. Determine the derivative of

14. Mixed Practice Determine the derivative of each of the following.