In order to know that you are dealing with a relative maximum, you would have to know that the second derivative is negative there. Now this fourth choice, H prime prime is concave up. It does indeed look like the second derivative is concave up but that by itself does not justify that the original function is concave up. For example, well, I could use this example right here. This is a potential second derivative that is concave upwards, but it is positive the entire time. And if your second derivative is positive the entire time, that means that your first derivative is increasing the entire time, which means that your original function is going to be concave upwards the entire time. And so if you're concave upwards the entire time, then you would not have a relative maximum at x equals negative four.