Finding the derivative (slope) at a point, Finding the numerical integral over an interval, Finding an inflection point within an interval – Texas Instruments PLUS TI-89 User Manual

Page 141

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124 Chapter 6: Basic Function Graphing

06BASFUN.DOC TI-89/TI-92 Plus: Basic Function Graphing (English) Susan Gullord Revised: 02/23/01 4:09 PM Printed: 02/23/01 4:18 PM Page 124 of 22

1. From the Graph screen, press ‡ and select

6:Derivatives

. Then

select

1:dy/dx

from the submenu.

2. As necessary, use D and C to select the applicable function.

3. Set the derivative point.

Either move the cursor to the
point or type its

x

value.

4. Press ¸.

The derivative at that point is
displayed.

1. From the Graph screen, press ‡ and select

7:

f(x)dx

.

2. As necessary, use D and C to select the applicable function.

3. Set the lower limit for

x

. Either use A and B to move the cursor

to the lower limit or type its

x

value.

4. Press ¸. A

4 at the top of the screen marks the lower limit.

5. Set the upper limit, and press

¸.

The interval is shaded, and its
approximate numerical
integral is displayed.

1. From the Graph screen, press ‡ and select

8:Inflection

.

2. As necessary, use D and C to select the applicable function.

3. Set the lower bound for

x

. Either use A and B to move the cursor

to the lower bound or type its

x

value.

4. Press ¸. A

4 at the top of the screen marks the lower bound.

5. Set the upper bound, and

press ¸.

The cursor moves to the
inflection point (if any) within
the interval, and its
coordinates are displayed.

Finding the
Derivative (Slope) at
a Point

Finding the
Numerical Integral
over an Interval

Tip: Typing x values is a
quick way to set the limits.

Tip: To erase the shaded
area, press

(ReGraph).

Finding an Inflection
Point within an
Interval

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