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Rules for Differentiation

Rules for Differentiation. Chapter 3. Derivatives. Section 3.3. Quick Review. Quick Review. Quick Review. Quick Review Solutions. Quick Review Solutions. Quick Review Solutions. What you ’ ll learn about. Power functions Sum and difference rules Product and quotient rules

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Rules for Differentiation

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  1. Rules for Differentiation Chapter 3 Derivatives Section 3.3

  2. Quick Review

  3. Quick Review

  4. Quick Review

  5. Quick Review Solutions

  6. Quick Review Solutions

  7. Quick Review Solutions

  8. What you’ll learn about • Power functions • Sum and difference rules • Product and quotient rules • Negative integer powers of x • Second and higher order derivatives … and why These rules help us find derivatives of functions analytically in a more efficient way.

  9. Rule 1 Derivative of a Constant Function

  10. Rule 2 Power Rule for Positive Integer Powers of x.

  11. Rule 3 The Constant Multiple Rule

  12. Rule 4 The Sum and Difference Rule

  13. Example Positive Integer Powers, Multiples, Sums, and Differences

  14. Example Positive Integer Powers, Multiples, Sums, and Differences

  15. Rule 5 The Product Rule

  16. Example Using the Product Rule

  17. Rule 6 The Quotient Rule Rule 6 The Quotient Rule

  18. Example Using the Quotient Rule

  19. Rule 7 Power Rule for Negative Integer Powers of x

  20. Example Negative Integer Powers ofx

  21. Second and Higher Order Derivatives

  22. Second and Higher Order Derivatives

  23. Quick Quiz Sections 3.1 – 3.3

  24. Quick Quiz Sections 3.1 – 3.3

  25. Quick Quiz Sections 3.1 – 3.3

  26. Quick Quiz Sections 3.1 – 3.3

  27. Quick Quiz Sections 3.1 – 3.3

  28. Quick Quiz Sections 3.1 – 3.3

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