Second Derivative; Σ Calculation - Casio fx-5800P User Manual
Casio calculator user's guide fx-5800p
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differential calculation result that approaches zero can cause poor precision or error.
• You can interrupt an ongoing differential calculation operation by pressing o .
Second Derivative
Your calculator lets you calculate the second derivative coeffi cient (
x
a
where
=
. Your calculator uses approximation based on the second order value differential
equation of the Newton interpolation polynomial. Calculation is performed using the function
shown below.
A Syntax and Input
2
2
d
dx
f
x
a
tol
/
(
(
),
,
f
x
(
): Function of
• All variables other than X are viewed as constants.
a
:
Value of point (second derivative point) of desired second derivative
coeffi cient
tol
: Error tolerance range (Can be input only when linear display is being used.)
• This parameter can be omitted. In that case, a tolerance of 1 × 10
Example 1: To obtain the second derivative coeffi cient for the function
when
+4
Example 2: To perform the same procedure as Example 1, specifying
Since you want to specify a value for
linear display.
– {MATH} 3 (d
0 (X) x+
A Remarks
See the remarks for derivative on page 45.
Σ Calculation
This function determines the sum of an input
performed using the function shown below.
)
x
(Input the function used by variable X.)
x
= 3
– {MATH} 3 (d
0 (X) x+
tol
2
2
/dX
)
0 (X) -6,3,1Z-
2
2
d
dx
/
(
2
2
0 (X)
/dX
)
0 (X) -6
, you will need to perform this calculation using
0 (X)
3)+4
12)
f
x
(
) for a specifi ed range. Calculation is
Σ (
E-46
2
2
d
dx
f
x
/
(
(
3
y
x
=
3
3
tol
= 1 × 10
x
a
f
x
))|
=
) for
(
)
–10
is used.
2
x
x
+ 4
+
– 6
–12
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