SCRIBE POST - OCTOBER 10, 2007

Hi guys, it's Devon. I was the scribe last Wednesday (October 10). It was a late start day, so all we covered was something called The Mean Value Theorem. We recieved a review packet, and we had to start working on that in preperation for our quiz Friday, October 19th.

Ok. Here we go.

The Mean Value Theorem connects the average rate of change and instantaneous rate of change of a function. The theorem states that all continuous and differentiable points between A and B on a differentiable curve, have at least one tangent line parallel to AB.



Between points A and B, we find a point C. Point C is the point of a parallel tangent line, and can be found by the previous equation.

A graph that represents The Mean Value Theorum would look like this:



An example of this would be driving. If you went on a 3 hour trip, averaging about 30 miles/hour, The Mean Value Theorem states that you would have to be going exactly that speed at least one time in the duration of your drive. That's basically it, it's pretty simple.