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HP 48G Series User Manual

HP 48G Series
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Lesson
27:
Finding
Slope,
Tangents,
and
Critical
Points
The
following
examples
show
you
other
kinds
of analysis
you
can
perform
on
the
currently
plotted
function.
Example:
Using
the
same
polynomial
you
just
plotted
in
the
previous
lesson
(X°
+
X*
5X3
2X?
+
X
4),
find
the
slope
at
#
=
—0.4
and
draw
a
tangent
line
to
the
function
at
x
=
0.3.
Step
1:
Turn
on
TRACE
mode
and
move
the
cursor
using
the
(«)
and
(»)
keys.
(to
redisplay
the
menu)
PICT
TRADE
(«€)
and
(»)
as
needed
L.
§
ETRE
Er
IEE
FETE
ETT
Step
2:
Display
the
cursor
coordinates
and
move
the cursor
over
until
the
z-coordinate
equals
-0.4.
nr
<
as
needed
|
|
|
oo
1
n=
¥:
-Y4.38464
Step
3:
Find
the
slope.
(to
redisplay
the
menu)
:
SLOPE:
07d
tting
Equations
and
Analyzing
Graphs
6-15

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HP 48G Series Specifications

General IconGeneral
ModelHP 48G Series
TypeGraphing Calculator
Display TypeLCD
Display Size131x64 pixels
Programming LanguageRPL (Reverse Polish Lisp)
Memory32 KB RAM
ProcessorSaturn
Power Supply3x AAA batteries
ConnectivityInfrared (IR)

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