Casio CFX-9800G - Page 59

MW
Applications
of
Differential
Calculations
roe
Differentials
can’
be
added,
subtracted,
multiplied’and
divided
with
each
other.
~
Example] —“y()=P'@), Lala)=8'C0) .
Therefore:
(a) +8'(a), f(a) x8’ (a) /
«Differential
results
can
be
used
in
addition,
subtraction,
multiplication,
and
division,
and
in functions.
Example | 2x/’(a), log(/’(a))
Functions
can
be
used
in
any
of
the
terms
(f(x),
a,
Ax)
of
a
differential.
Example A (sine + cose, sin0.5)
Note
that
you
cannot
use
differential,
integration,
or
£
calculations
inside
of
a
differen-
tial
calculation
term.
Pressing
&%
during
calculation
of
a
differential
(while
the
cursor
is
not
shown
on
the
i: interrupts the calculation.
:
sanan
pater
mgenenaiie
integrations
using
radians
(Rad
Mode)
as
the
unit
of
angular
measurement
(page
28).
;
Differential
calculations
use
value
memories
F
through
H
for
storage,
deleting
any
con-
tents
that.
were
previously
stored.
This
also
means
that
you.
cannot
use
these
value
memories during differential calculations.
Value Memory | F. G H
Data Stored. |. a ax | df(a)idx
In
addition
to
the
above,
the
value
for
derivative
a
is
stored
in
value
memory
X.
—82-
3-2
How
the
Unit
Calculates
Integrations
abe
The following is the input format for integrations:
@es~)OeHsOrE
| (Number of Divisions (valué tor min N=2",n'is
End Point a” integer from 1 through 9)
Start Point
Sf), @, bn) = f° fxd, Nao
yaS(x)..
Area of f° f(x)dx is calculated
N number of divisions
Integration
calculations
are
performed
by
applying
Simpson’s
Rule
for
the'f(x)
function
you
input.
This
method
requires
that
the
number
divisions
be
defined
as
N=2",
where
the
value
of
7
is
an
integer
in
the
range
of
1
through
9.
If
you
do
not
specify
a
value
for
n,
the
calculator
automatically
assigns
a
value
‘in
accordance
with
the
integration
being
performed.
-
As
shown
in
the
illustration
above,
integration
calculations
are
performed
by
calculating
integral
values
from
a
through
b
for
the
function
»
=J(x)
where
asx<b,
and
f(x)=0".
This
in
effect
calculates
the
surface
area
of
the
shaded
area
in.the
illustration.
“If
f(x)
<0
where
@=x<b,
the
surface
area
calculation
Produces
negative
values
(sur-
face
areax
—
1).
:
Aiso
note
that
the
calculator
uses
the
following
value.
memories
to
store-data
during
in-
tegration
calculations..
-
-
Seen
;
7
4
| Value Memory Me, N
Ps fered s |
| :Data‘Stored
Bas 340087-13