Author Topic: Calculus Help: Numeric and Geometric explanations?  (Read 1739 times)

When my friend and I were working on limits in our AP Calc class, we figured out the shortcut all by ourselves.  The teacher had to tell us to keep quiet about until we learned it in class lol

Talked with Trey on Steam, got the best I could. Now I'm onto the next part, whereas I choose a value from the tables and talk about it numerically and geometrically...

Could someone elaborate the differences between numeric and geometric speech in calculus explanations?

Edit: Basically: I have tables of a derivative of the cube root of x - 1. I take a random value from the table, then explain numerically and geometrically what this value means.

I do not understand how you speak numerically and geometrically.

Edit2: What I really need to know is what would you call a single point on a derivative? An average rate of change? A limiting value of an average rate of change?
« Last Edit: October 10, 2013, 07:47:19 PM by MegaScientifical »

Edit2: What I really need to know is what would you call a single point on a derivative? An average rate of change? A limiting value of an average rate of change?
Instantaneous rate of change.

The rate of change on that exact point

Indeed, thank you. I've written as much as I can. As far as I know, this explains it well enough. I'm sure I messed up in a bunch of places relative to what she requires, but I do not have enough material to adequately determine out the nuisances of the language I must use. I hope this serves well enough.