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16-2 Deriving the Derivative Using the [Deriv] Tab
u To use the [Deriv] tab
Example: The slope of a tangent at a point (
x
slope
), (
, slope
), (
1
2
2
passes through all of the plots. Also, use regression to confirm the function.
1. On the DiffCalc Table window, display the [Function] tab.
y
2. In the "
:" line under "Function", input
3. Tap the [Deriv] tab.
• This will cause the display to appear as shown below.
4. On the DiffCalc Graph window, plot a point at coordinates (
(1) Use the cursor buttons to move
(2) Tap the [EXE] button.
• This will add the
number table on the [Deriv] tab. At the same time, the (
plotted on the DiffCalc Graph window.
(3) Repeat steps (1) and (2) above to plot at least four points.
• At this point, try to predict the expression (
produce a curve that passes through all of the plots.
5. Input the expression and graph it.
• In this example, we can predict a quadratic function curve, so we will try inputting
(1) Tap Calc - Predicted Function - Editor or D.
x
x
, slope
), .... (
, slope
3
3
n
x
3
− 4
x
(
, slope) number table
There are no table contents under initial default conditions.
[EXE] button and cursor buttons
y
x
=
3
− 4
Tangent at position
Slope of tangent at position
x
-coordinate of
around the graph.
x
and slope values at the current location of
x
y
y
,
) on the graph of
=
) on the DiffCalc Graph window, and predict the function that
n
x
.
x
graph (blue)
y
of graph
of graph
location
x
, slope).
x
, slope) will be
y
f
x
=
(
) function) that will
Chapter 16: Interactive Differential Calculus Application 269
x
x
3
− 4
, is slope. Plot coordinates (
x
3
x
=
− 4
graph (green)
y
x
3
x
=
− 4
graph
to the
y
= 2
x
,
1
x
2
− 4.
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