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Sec. 2.3: Product and Quotient Rules and Higher-Order Derivatives

Sec. 2.3: Product and Quotient Rules and Higher-Order Derivatives. Sec. 2.3: Product and Quotient Rules and Higher-Order Derivatives. The Product Rule. ( first )  ( derivative of the second ) + ( second )  ( derivative of the first ). AP Calculus BC Friday, 13 September 2013.

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Sec. 2.3: Product and Quotient Rules and Higher-Order Derivatives

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  1. Sec. 2.3: Product and Quotient Rules and Higher-Order Derivatives

  2. Sec. 2.3: Product and Quotient Rules and Higher-Order Derivatives The Product Rule (first)  (derivative of the second) + (second)  (derivative of the first)

  3. AP Calculus BCFriday, 13 September 2013 • OBJECTIVES TSW find derivatives using the product and quotient rules. • QUIZ will be given after the lesson. • ASSIGNMENTS DUE MONDAY • Sec. 2.1 • Sec. 2.2 • Emergency cards to the wire basket.

  4. Sec. 2.3: Product and Quotient Rules and Higher-Order Derivatives • Ex: Find the derivative.

  5. Sec. 2.3: Product and Quotient Rules and Higher-Order Derivatives • Ex: Find the derivative.

  6. Sec. 2.3: Product and Quotient Rules and Higher-Order Derivatives • Ex: Find the derivative.

  7. Sec. 2.3: Product and Quotient Rules and Higher-Order Derivatives The Quotient Rule

  8. Sec. 2.3: Product and Quotient Rules and Higher-Order Derivatives • Example: Find the derivative. Do NOT square the denominator

  9. Sec. 2.3: Product and Quotient Rules and Higher-Order Derivatives • Ex: Find the derivative. First, eliminate the complex fraction. Now find the derivative

  10. Sec. 2.3: Product and Quotient Rules and Higher-Order Derivatives When not to use the Quotient Rule:

  11. Sec. 2.3: Product and Quotient Rules and Higher-Order Derivatives Derivatives of Trigonometric Functions MemoRIZE MemorIZE MemoriZE MemorizE Memorize MEMORIZE MeMORIZE MemORIZE

  12. Sec. 2.3: Product and Quotient Rules and Higher-Order Derivatives Higher-Order Derivatives First Derivative: Second Derivative: Third Derivative: Fourth Derivative: • • • nth Derivative:

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