1. By Katie McKnight & Peter Myszka

2. This is our beginning equation. It is a quadratic function that will give us a good base to examine the equation of slopes.

3. This is the window we used for the equation, and how the equation looks. From this point, we found the slope value for 5 certain points to see a basic image of the slopes.

4. These are the five points we choose randomly. Next to it is a screen shot of the function and a plot of those points. You can already see, that for a quadratic function the slope line is a straight line.

5. We had the calculator do the nDeriv command, which calculates the slopes line. Then we found the equation of the slopes line, and graphed it on the calculator. The two functions were the same.

6. All this leads up to the conclusion, that the derivative always is the equation of the slopes, for every function. So next time the only command you have to know for the slopes, is the Derivative.