Casio fx-9860G SD - Manual (Page 100)

20061001
<Math>
A4
(MATH)5(
d
2 /
dx
2 )vMde
+evx+v-g edw
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
fixed 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 inflection 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 five digits for the
mantissa.
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