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HW_4_3_mod - Student Name Sections 4.3(Due Thursday 10/25...

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Student Name: Sections 4.3 (Due: Thursday, 10/25) Description : This homework will help you learn: - the use of the first derivative to determine whether a function is increasing or decreasing, - the First and Second Derivative Tests for local maxima and minima, - the use of second derivative to determine concavity and points of reflection, - the geometric description of concavity, and the relationship between concavity and the behavior of the first derivative. Show all work to get full credit. 1) Use the given graph of f to find the following. (a) The open intervals on which f is increasing. ( , ) ( , ) (b) The open intervals on which f is decreasing. ( , ) ( , ) (c) The open interval on which f is concave upward. ( , ) (d) The open interval on which f is concave downward. ( , ) ( , ) (e) The coordinates of the point of inflection. ( , ) 2) The graph of the derivative f ' of a function f is shown. (a) On what intervals is f increasing? ( , ) ( , ) (b) On what intervals is f decreasing? ( , ) ( , ) (c) At what values of x does f have a local maximum or minimum?
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