The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) greater than 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) less than 0 at each point in an interval I, then the function is said to be decreasing on I.
#Increasing_function
#decreasing_function
#sign_changes
#Increasing_Decreasing_Test
#Local_Minimum_Point
#Local_Maximum_Point
