Answer
The graph with the greater y-value at x = 4 is the derivative graph.
Work Step by Step
There are many ways to know that this graph is the derivative graph, the most obvious of which is to look at the behavior of f(x) when the derivative graph is equal to zero. At x = 1, the derivative graph hits zero, and f(x) has a relative minimum. This happens again at x = 3. Furthermore, looking at the derivative graph, we know that on the interval (1, 3), the derivative is negative, meaning that f(x) is strictly decreasing. Similarly, we know that from (1,0) it is strictly increasing since the graph is positive, decreasing from (1,3), and increasing again from (3,4).
