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AP CALCULUS

AP CALCULUS. 1008 : Product and Quotient Rules. f(x) g(x). PRODUCT RULE FOR DERIVATIVES. The first times the derivative of the second plus the second times the derivative of the first . Product Rule: (In Words) ________________________________________________.

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AP CALCULUS

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  1. AP CALCULUS 1008 : Product and Quotient Rules

  2. f(x) g(x) PRODUCT RULE FOR DERIVATIVES The first times the derivative of the second plus the second times the derivative of the first. Product Rule: (In Words) ________________________________________________ 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 Quotient Rule: (In Words) ___________________________ ¡ ¡ ¡ ¡ WATCH YOUR ALGEBRA ! ! ! !

  8. QUOTIENT RULES FOR DERIVATIVES 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

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