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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

Section 4.3

Increasing and Decreasing Functions and the First Derivative Test

relative extrema
Relative Extrema

f(x)

Relative Maximum

Relative Minimum

example 1
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
Example 2

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

example 3
Example 3

Identify the intervals where the function is increasing or decreasing.

example 4
Example 4

Identify the intervals where the function is increasing or decreasing.

example 5
Example 5

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

example 6
Example 6

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

example 7
Example 7

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

example 8
Example 8

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

example 9
Example 9

The graph of is given. Sketch the graph of .

example 10
Example 10

The graph of is given. Sketch the graph of .

questions
Questions?

Be sure to be practicing the given problem sets!