Casio fx-9860G AU PLUS, Руководство пользователя

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k k k k k
Quadratic Differential Calculations
[OPTN] - [CALC] - [ d 2 / dx 2 ]
After displaying the function analysis menu, you can input quadratic differentials using the
following syntax.
K 4
(CALC)
3
(
d
2
/
dx
2
)
f ( x ) , a ,
tol
)
Quadratic differential calculations produce an approximate differential value using the
following second order differential formula, which is based on Newton’s polynomial
interpretation.
2 f ( a + 3 h ) – 27 f ( a + 2 h ) + 270 f ( a + h ) – 490 f ( a )+270 f ( a – h ) – 27 f ( a – 2h ) +2 f ( a – 3 h )
f'' ( a )
=
–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––
180 h 2
In this expression, values for “sufficiently small increments of
h
” are used to obtain a value
that approximates
f
”(
a
).
○ ○ ○ ○ ○
Example To determine the quadratic differential coefficient at the point where
x
= 3 for the function
y
=
x 3
+ 4
x 2
+
x
– 6
Here we will use a tolerance tol = 1
E
– 5
Input the function f (
x
) .
A K 4 (CALC) 3 ( d 2 / dx 2 ) v M d+
e vx + v -g,
Input 3 as point
a
, which is the differential coefficient point.
d,
Input the tolerance value.
b E- f)
w
2-5-5
Numerical Calculations
(
a
:
differential coefficient point , tol : tolerance)
d 2 d 2
––– ( f ( x ), a )
⇒
––– f ( a )
dx
2
dx
2
# In the function f ( x ) , only X can be used as a
variable in expressions. Other variables (A
through Z excluding X,
r ,
θ
) are treated as
constants, and the value currently assigned to
that variable is applied during the calculation.
# Input of the tolerance ( tol ) value and the closing
parenthesis can be omitted.
# Specify a tolerance (
tol
) value of 1
E
-14 or greater.
An error (Time Out) occurs whenever no solution
that satisfies the tolerance value can be obtained.
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