Increasing and Decreasing Functions and the First Derivative Test.

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Presentation transcript:

Increasing and Decreasing Functions and the First Derivative Test

Relative Maximum f(x) Relative Minimum

f(x)

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

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

Identify the intervals where the function is increasing or decreasing.

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

Be sure to be practicing the given problem sets!