45
Differential Calculations
Chapter 3
This average, which is called the
central difference
, is expressed as:
u
u
u
u
u
To perform a differential calculation
Example
To determine the derivative at point
x
=
3 for the function
y
=
x
3
+
4
x
2
+
x
–
6, when the increase/decrease of
x
is defined as
!
x
=
1
E
–
5
Input the function
f
(
x
)
.
A
K
2
(CALC)
[
1
(
d/dx
)
T
M
d+e
T
x
+
T
-g,
Input point
x
=
a
for which you want to determine the derivative.
d,
Input
!
x
, which is the increase/decrease of
x
.
b
E-
f)
w
• In the function
f
(
x
)
, only X can be used as a variable in expressions. Other vari-
ables (A through Z) are treated as constants, and the value currently assigned to
that variable is applied during the calculation.
• Input of
!
x
and the closing parenthesis can be omitted. If you omit
!
x
, the calcu-
lator automatically uses a value for
!
x
that is appropriate for the value of
x
=
a
,
which you specified as the point for which you wanted to determine the deriva-
tive.
• Discontinuous points or sections with drastic fluctuation can adversely affect pre-
cision or even cause an error.
• Note that you cannot use differential calculation inside of a differential calculation
term.
1
f
(
a
+
!
x
) –
f
(
a
)
f
(
a
) –
f
(
a
–
!
x
)
f
'(
a
) =
–– –––––––––––––
+
–––––––––––––
2
!
x
!
x
f
(
a
+
!
x
) –
f
(
a
–
!
x
)
=
–––––––––––––––––
2
!
x
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 ...
