Web Reference: This lesson goes over how to find when a function increases & decreases by using the sign of its derivative, then how to use that information to find local extrema (the first derivative... What are Increasing and Decreasing Intervals? The intervals where the functions are increasing or decreasing are called the increasing and decreasing intervals. These intervals can be evaluated by checking the sign of the first derivative of the function in each interval. If the graph of f lies above all of its tangents on an interval I, then it is called concave upward on I. If the graph of f lies below all of its tangents on I, it is called concave downward on I.
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