To Sketch: The graph of below the graph of f.
From the given graph, it is observed that the graph of f contains the horizontal tangent at one point. Let this point be A.
Note that, the value of the derivative will be zero at the point where the function has the horizontal tangent.
Thus, the graph of will be zero at the point A.
From the point A to left, the slope of the graph f is strictly positive which implies that the derivative graph must have a functional value in positive.
From the point A to right, the slope of the graph f is negative which implies that the derivative graph must have a functional value in negative.
Use the above information and obtain the graph of as shown below in Figure 1.
From Figure 1, the required graph of is obtained.
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