# Math Help - Graph of a fcn...

1. ## Graph of a fcn...

Hey guys,
This is more of a generalized question than one from the textbook etc.. Can someone explain to me how you could take a graph of the derivate or f'(x) for example and from that, graph the original function? Im having trouble going in the opposite direction... Thanks in advance!
Chris

2. I'd look at it this way...

First, $f'(x)$ is a graph of the slope of $f(x)$ at every point. Pick some points in the x-y plane and draw a little line segment with the slope from $f'(x)$ at that same x. Connect them, and you've got $f(x)$, almost. The caveat is when you integrate $f'(x)$, you'll get a constant of integration, and thus an infinite number of possible $f(x)$'s to plot. To get the specific graph of your $f(x)$, you need to know a specific point that satisfies your particular $f(x)$.

-Scott