HP 48G User Manual

Page 81

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Lesson 27: Finding Slope, Tangents, and

Critical Points

The following examples

show you

other

kinds

of analysis

you can

|)erform on the currently plotted function.

Example,:

Using the same polynomial you just plotted in the

previous lesson (A'® + A"‘ — 5A® — 2A'“ + A' — 4), find the

slope at

X

= —0.4 and draw a tangent line to the function

at

X

= 0.3.

S t e p 1 :

Turn on TRACE mode and move the cursor using the

and © keys.

fNXT) (to redisplay the menu)

p ;|; f:

t

JRFlCE

@ and O as needed

,

,

.

A

1

S t e p 2 :

Display the cursor coordinates and move the cursor over
until the jecoordinate equals -0.4.

© or a as needed

,,,

A-

1

. . . . .

1 H

K: “.H

i: -H.aBHfiM

S t e p S :

Find the slope.

( N X T

) (to redisplay the

m e n u )

F C H S L. 0 P E

Plotting Equations and Analyzing Graphs 6-15