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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 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)
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.
Example 2 Use the graph to estimate where the fnc. is increasing or decreasing. Then find the open intervals analytically.
Example 3 Identify the intervals where the function is increasing or decreasing.
Example 4 Identify the intervals where the function is increasing or decreasing.
Example 5 Identify the intervals where the function is increasing or decreasing and locate all relative extrema.
Example 6 Identify the intervals where the function is increasing or decreasing and locate all relative extrema.
Example 7 Identify the intervals where the function is increasing or decreasing and locate all relative extrema.
Example 8 Identify the intervals where the function is increasing or decreasing and locate all relative extrema.
Example 9 The graph of is given. Sketch the graph of .
Example 10 The graph of is given. Sketch the graph of .
Questions? Be sure to be practicing the given problem sets!
