Examples: root-finding with plots, Examples: root-finding with plots -21, Vi 1 – HP 38g Graphing Calculator User Manual
Page 85
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Examples: Root-Finding with Plots
These examples of the interactive root-finding operations use
the expression
f(x)
= jc
^-1
in the Function aplet with default
plot settings.
Select the Function aplet.
SYMB
{{X}} ■ [^] □ 1 [¡EUR]
IFUNCTIDN fVHBDLIC VIEH
^ F K X > = X a - l
F2t;x> =
F3<X> =
F4<X) =
F5<X> =
ROOT
[SETUP-PLOT]
[CLEAR]
PLOT
{{MENU}] {{FCN}}
Select
Root {{OK}}
■ VI 1/
ftDDT: -1
I8IJ!III
The crosshairs started at (0, - 1 ) . The root nearest the
crosshairs is x = -1. The crosshairs have moved to ( -1,0).
EXTREMUM
{{MENU}} {{FCN}}
5efeci
Extremum
{{OK}}
, , , , v
L / , ,
EHTftM: <0,-D
/
isuim
SLOPE
{{MENU}} {{FCN}}
Sefeci
Slope
{{OK}}
,, ,v
iaB;iii
The slope at the extremum (where the crosshairs are) is zero.
Plotting and Exploring Functions 3-21