Answer
$(B)$ in the figure could be the graph of derivative $A'$.
Work Step by Step
From the year $1970$ to $1973$, the number of automobiles manufactured is increasing.
So, the derivative could be positive in this period.
In the year $1974$ and $1975$, the manufacture of automobiles is decreasing.
So, in these years derivative could be negative.
In the last year, the number of automobiles is again increased.
So, at the end of the graph, the derivative should be positive.
Since graph $(B)$ matches most of the conditions.
$(B)$ in the figure could be the graph of derivative $A'$.
