Casio fx-9860G SD User Manual page 100

<Math>
A4(MATH)5(
+evx+v-gedw
u Quadratic Differential Applications
• Arithmetic operations can be performed using two quadratic differentials.
d d
2 2
––– f (a) = f ''(a), ––– g (a) = g''(a) ––– f (a) = f ''(a), ––– g (a) = g''(a)
dx dx
2 2
Therefore:
''
(a) + g
f
• The result of a quadratic differential calculation can be used in a subsequent arithmetic
or function calculation.
f ''
2 ×
• Functions can be used within the terms (
expression.
d d
2 2
––– (sin ––– (sin
dx dx
2 2
# In the Math input mode, the tolerance value is
fixed at 1 -10 and cannot be changed.
E
# 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
- extreme changes in values
- inclusion of the local maximum point and
local minimum point in
- inclusion of the inflection point in
- inclusion of undifferentiable points in
- differential calculation results approaching
zero
2-5-6
Numerical Calculations
d dx
/ )vMde
2 2
d d
2 2
dx dx
2 2
'' '' ''
(a), f (a) × g (a), etc.
''
(a), log ( f (a) ), etc.
x x x x
+ cos + cos , sin 0.5, 1 , sin 0.5, 1 - 8), etc. - 8), etc.
E E
x
values
x
values
x
values
x
values
20070101 20061001
f x a
( ), , tol ) of a quadratic differential
# 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.