44
Differential Calculations
Chapter 3
• To perform differential calculations, first display the Option Menu, and then input
the values shown in the formula below.
K
2
(CALC)
[
1
(
d
/
dx
)
f
(
x
)
,
a
,
!
x
)
The differentiation for this type of calculation is defined as:
In this definition,
infinitesimal
is replaced by a
sufficiently small
!
x
, with the value in
the neighborhood of
f '
(
a
)
calculated as:
In order to provide the best precision possible, this unit employs central difference to
perform differential calculations. The following illustrates central difference.
The slopes of point
a
and point
a
+
!
x
, and of point
a
and point
a
–
!
x
in function
y
=
f
(
x
)
are as follows:
In the above,
!
y
/
!
x
is called the forward difference, while
"
y
/
"
x
is the backward
difference.To calculate derivatives, the unit takes the average between the value of
!
y
/
!
x
and
"
y
/
"
x
, thereby providing higher precision for derivatives.
f
(
a
+
!
x
) –
f
(
a
)
f
'(
a
) = lim
–––––––––––––
!
x
!
x
#
0
f
(
a
+
!
x
) –
f
(
a
)
!
y
f
(
a
) –
f
(
a
–
!
x
)
"
y
–––––––––––––
=
–––
,
–––––––––––––
=
–––
!
x
!
x
!
x
"
x
f
(
a
+
!
x
) –
f
(
a
)
f
'(
a
)
–––––––––––––
!
x
d
d
/
dx
(
f
(
x
),
a
,
!
x
)
$
–––
f
(
a
)
dx
Increase/decrease of
x
Point for which you want to determine the derivative
Summary of Contents for fx-7400G
Page 46: ...Differential Calculations Chapter 3 ...
Page 164: ...161 1 2 3 4 5 Program for Circle and Tangents No 4 Step Key Operation Display ...
Page 165: ...162 Program for Circle and Tangents No 4 Step Key Operation Display 6 7 8 9 10 ...
Page 166: ...163 11 12 13 14 15 Program for Circle and Tangents No 4 Step Key Operation Display ...
Page 167: ...164 16 17 18 Program for Circle and Tangents No 4 Step Key Operation Display ...
Page 170: ...167 1 2 3 4 5 Program for Rotating a Figure No 5 Step Key Operation Display ...
