1. AP CALCULUS 1008 : Product and Quotient Rules

2. PRODUCT RULE FOR DERIVATIVES Product Rule: (In Words) ________________________________________________ The first times the derivative of the second plus the second times the derivative of the first. f(x) g(x) First*d(second)+second*d(first) fi d(sec)+sec d(fi)

3. PRODUCT RULE FOR DERIVATIVES EX:

4. Example Using the Product Rule GRADING:

5. PRODUCT RULE FOR DERIVATIVES EX: Given u and v are differentiable at x = 2 and u(2) = 3 u’(2) = 4 v(2) = - 2 v’(2) = 5

6. QUOTIENT RULES FOR DERIVATIVES If you can reduce the fraction - - - - - DO

7. QUOTIENT RULES FOR DERIVATIVES

8. EX:

9. Example Using the Quotient Rule GRADING:

10. QUOTIENT RULES FOR DERIVATIVES EX:

11. QUOTIENT RULE FOR DERIVATIVES EX: Given u and v are differentiable at x = 2 and u(2) = 3 u’(2) = 4 v(2) = - 2 v’(2) = 5

12. Last Update 9/17/11 Assignment: p 124 # 1 - 41 odd