Fundamental Theorem of Calculus Part 1

The Fundamental Theorem of Calculus Part 1 FTC is stated below. Click the check boxes one by one to show that F'(x)=f(x). Before clicking the locus check box move point a in the first window. What do you notice about the movement of point M when point a is dragged? Now click the check box for the locus. The locus is a graph of all the values of the slope of the tangent. What do you notice about the locus? Drag the slider labeled n to explore other functions. Follow the same process for each function.