Match the graph of each function in (a)–(d) with the graph of its derivative in I–IV. Give reasons for your choices.
Step 1 of 4
Given graph is
From the graph, it is seen that the graph has horizontal tangents at two points. Therefore, the graph of its derivative must intersect the x axis at two points.
Only graph (II) cuts the x axis twice.
Therefore, the best match for graph (a) is graph (II).