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4.3

4.3. Connecting f ’ and f ” with the graph of f. Quick Review. Quick Review. Quick Review Solutions. Quick Review Solutions. What you’ll learn about. First Derivative Test for Local Extrema Concavity Points of Inflection Second Derivative Test for Local Extrema

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4.3

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  1. 4.3 Connecting f ’ and f ” with the graph of f

  2. Quick Review

  3. Quick Review

  4. Quick Review Solutions

  5. Quick Review Solutions

  6. What you’ll learn about • First Derivative Test for Local Extrema • Concavity • Points of Inflection • Second Derivative Test for Local Extrema • Learning about Functions from Derivatives …and why Differential calculus is a powerful problem-solving tool precisely because of its usefulness for analyzing functions.

  7. First Derivative Test for Local Extrema

  8. First Derivative Test for Local Extrema

  9. Example Using the First Derivative Test

  10. Concavity

  11. Concavity

  12. Concavity Test

  13. Example Determining Concavity

  14. Point of Inflection

  15. Example Finding Points of Inflection

  16. Second Derivative Test for Local Extrema

  17. Example Using the Second Derivative Test

  18. Learning about Functions from Derivatives

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