http://math.msu.edu/%7eglashow1/Q2_US07.pdf
How do you determine the prime function?
http://math.msu.edu/CurrentStudents/SampleFinals/mth124.pdf
#2
how do you figure out the derivative of the first graph
You need to mark the points where the graph changes slope (as shown in the drawing) from positive to negative and negative to positive. These are the "zeros" and are marked on the x axis. When the slope of the function is negative, the prime function is negative. When the slope is positive the prime function is positive.