Differential calculations, Integration calculations – Casio fx-3650P User Manual
Page 36
E-34
COMP
Differential Calculations
The procedure described below obtains the derivative of a function.
Use the
F
key to enter the COMP Mode when you want to perform a
calculation involving differentials.
COMP .............................................................................................
F 1
• Three inputs are required for the differential expression: the function of
variable
x
, the point (
a
) at which the differential coefficient is calculated,
and the change in
x
(∆
x
).
A
J
expression
P
a
P
∆
x
T
• Example: To determine the derivative at point
x
= 2 for the function
y
= 3
x
2
– 5
x
+ 2, when the increase or decrease in
x
is ∆
x
= 2 × 10
-4
(Result:
7
)
A
J
3
p
x
K
,
5
p
x
+
2
P
2
P
2
e
D
4
T
<
• You can omit input of ∆
x
, if you want. The calculator automatically
substitutes an appropriate value for ∆
x
if you do not input one.
• Discontinuous points and extreme changes in the value of x can cause
inaccurate results and errors.
Integration Calculations
The procedure described below obtains the definite integral of a function.
Use the
F
key to enter the COMP Mode when you want to perform
integration calculations.
COMP ............................................................................................
F
1
• The following four inputs are required for integration calculations:
a function with the variable
x
;
a
and
b
, which define the integration range
of the definite integral; and
n
, which is the number of partitions (equivalent
to N = 2
n
) for integration using Simpson’s rule.
d
expression
P
a
P
b
P
n
F
• Example:
∫
(2
x
2
+ 3
x
+ 8)
dx
=
150.6666667
(Number of partitions
n
= 6)
d
2
p
x
K
+
3
p
x
+
8
P
1
P
5
P
6
T
<
COMP
5
1