I just recently got to a section with f` and such. The professor hasn't taught us much of anything and I have just been having a lot of trouble.
Basically I have a graph which I attached, its a MS paint sketch but its still all the same. Basically what it says is "Organize these from biggest to smallest" using the graph. A small explanation would be nice.
0, f'(2), f(3)-f(2), and 1/2[f(4) - f(2)]
There is also a question asking for y=f(x) at (4,3) passes through (0,2), find f(4) and f`(4). How exactly do you find these? I just wish there were some good book examples actually about this section...