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Section 4.3

Section 4.3. Increasing and Decreasing Functions and the First Derivative Test. Relative Extrema. f(x). Relative Maximum . Relative Minimum . Relative Extrema. f(x). Relative Extrema. f(x). Relative Extrema. f(x). Increasing and Decreasing. Example 1 .

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Section 4.3

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  1. Section 4.3 Increasing and Decreasing Functions and the First Derivative Test

  2. Relative Extrema f(x) Relative Maximum Relative Minimum

  3. Relative Extrema f(x)

  4. Relative Extrema f(x)

  5. Relative Extrema f(x)

  6. Increasing and Decreasing

  7. Example 1 Use the graph to find the (a) largest open interval where the function is decreasing and the (b) largest open interval where its increasing.

  8. Example 2 Use the graph to estimate where the fnc. is increasing or decreasing. Then find the open intervals analytically.

  9. Example 3 Identify the intervals where the function is increasing or decreasing.

  10. Example 4 Identify the intervals where the function is increasing or decreasing.

  11. Example 5 Identify the intervals where the function is increasing or decreasing and locate all relative extrema.

  12. Example 6 Identify the intervals where the function is increasing or decreasing and locate all relative extrema.

  13. Example 7 Identify the intervals where the function is increasing or decreasing and locate all relative extrema.

  14. Example 8 Identify the intervals where the function is increasing or decreasing and locate all relative extrema.

  15. Example 9 The graph of is given. Sketch the graph of .

  16. Example 10 The graph of is given. Sketch the graph of .

  17. Questions? Be sure to be practicing the given problem sets!

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