khuct

I can't seem to identify some of the first and second derivatives graphs and the function graph it came from. I was told that if I wanted to identify a derivative graph, then I will have to look at the functions optimizing points. If the function graph goes to a negative slope after it's optimizing point, then the derivative graph around that area is negative relative to the X-axis. If the function is a positive slope after the optimizing point, then the derivative graph around that area is positive relative to the X-axis. But that doesn't seem to work for some graphs. And in addition, how do I identify the second derivative if given 3 graphs (function, first derivative, second derivative). Yeah a little confusing, but I"m not too good at explaining math. Thanks in advance