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Finding the derivative of a function given graphically and finding local maxima and minima.

For the function of f, given below in graph

(a) Sketch
(b) Where does change its sign
(c) Where does have local minima and maxima

Using the graph of write a brief description of complete sentences to describe the relationship between the following features of the function of:

(a) the local maxima and minima of
(b) the points at which the graph of changes concavity
(c) the sign changes of
(d) the local maxima and minima of

Please see the attached file for the fully formatted problems.


Solution Summary

The derivatives of graphed functions and local maxima and minima are found. The solution is detailed and well presented.