U quadratic differential applications – Casio SERIES FX-9860G User Manual
Page 103
20070201
A4(MATH)5(
d
2
/
dx
2
)
vMde
+evx+v-gedw
u Quadratic Differential Applications
• Arithmetic operations can be performed using two quadratic differentials.
Therefore:
f
''
( a ) + g
''
( a ), f
''
( a )
× g
''
( a ), etc.
• The result of a quadratic differential calculation can be used in a subsequent arithmetic
or function calculation.
2
×
f
''
( a ), log ( f
''
( a ) ), etc.
• Functions can be used within the terms (
f
(
x
),
a
,
tol ) of a quadratic differential
expression.
d
2
d
2
––– f (a) = f ''(a), ––– g (a) = g''(a)
dx
2
dx
2
d
2
d
2
––– f (a) = f ''(a), ––– g (a) = g''(a)
dx
2
dx
2
d
2
––– (sin
x
+ cos
x
, sin 0.5, 1
E
- 8), etc.
dx
2
d
2
––– (sin
x
+ cos
x
, sin 0.5, 1
E
- 8), etc.
dx
2
2-5-6
Numerical Calculations
# In the Math input mode, the tolerance value is
fi xed at 1
E
-10 and cannot be changed.
# The rules that apply for linear differential also
apply when using a quadratic differential
calculation for the graph formula (see page
2-5-2).
# Inaccurate results and errors can be caused
by the following:
- discontinuous points in
x
values
- extreme changes in
x
values
- inclusion of the local maximum point and
local minimum point in
x
values
- inclusion of the infl ection point in
x
values
- inclusion of undifferentiable points in
x
values
- differential calculation results approaching
zero
# You can interrupt an ongoing quadratic
differential calculation by pressing the
A key.
# Always use radians (Rad mode) as the angle
unit when performing trigonometric quadratic
differentials.
# You cannot use a differential, quadratic
differential, integration,
Σ, maximum/minimum
value, Solve, RndFix or log ab calculation
expression inside of a quadratic differential
calculation term.
# With quadratic differential calculation,
calculation precision is up to fi ve digits for the
mantissa.