In light of my current failure of the first exam of my calculus class, i've been a bit discouraged, but i try not to let these grades get me down. with that said, can anyone be so kind as to help me wrap my mind around the concept of derivatives? i have a shaky understanding of them as it is, therefore, any help or tips that you all may have, is greatly appreciated. how did you learn about them? what helped you go, "OH! i get it now!!" ? for example, how do i find this: f'(-4) and all i'm given is a graph of f(x). any help on this?? i greatly appreciate it in advance! thank you! i tried my best to duplicate the graph, though it may be a poor representation. my apologies.