
3.
Tap on the tangent to select it. After the tangent is selected, the new menu key appears. Tap
or press , and then select Choose color.
4. Pick a color, and then tap on a blank area of the screen to see the new color of the tangent line.
5. Tap point B and drag it along the curve; the tangent moves accordingly. You can also drag the tangent
line itself.
6.
Tap point B and then press to select the point. The point turns light blue to show that it has
been selected. Now, you can either drag the point with your nger or use the cursor keys for ner control
of the movement of point
B. To deselect point B, either press or tap point B and press
.
Note that whatever you do, point B remains constrained to the curve. Moreover, as you move point B, the
tangent moves as well. If it moves o the screen, you can bring it back by dragging your nger across the
screen in the appropriate direction.
Creating a derivative point
The derivative of a graph at any point is the slope of its tangent at that point. We’ll now create a new point
that will be constrained to point B and whose ordinate value is the derivative of the graph at point B. We’ll
constrain it by forcing its x coordinate (that is, its abscissa) to always match that of point B, and its y
coordinate (that is, its ordinate) to always equal the slope of the tangent at that point.
1.
To dene a point in terms of the attributes of other geometric objects, press to go to Symbolic
view.
Note that each object you have so far created is listed in Symbolic view. Note too that the name for an
object in Symbolic view is the name it was given in Plot view but prexed with a “G”. Thus the graph—
labeled A in Plot view—is labeled GA in Symbolic view.
152 Chapter 9 Geometry
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