Casio ALGEBRA FX 2.0, User Manual

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19990401
k
Differential Calculations
[OPTN] - [CALC] - [
d
/
dx
]
To perform differential calculations, first display the function analysis menu, and then input
the values shown in the formula below.
K 4
(CALC)
b
(
d
/
dx
)
f ( x )
,
a
,
tol
)
The differentiation for this type of calculation is defined as:
In this definition,
infinitesimal
is replaced by a
sufficiently small
A
x
, with the value in the
neighborhood of f ' ( a ) calculated as:
In order to provide the best precision possible, this unit employs central difference to perform
differential calculations.
Using Differential Calculation in a Graph Function
• Omitting the tolerance (
tol
) value when using the differential command inside of a graph
function simplifies the calculation for drawing the graph. In such a case, precision is
sacrificed for the sake of faster drawing. The tolerance value is specified, the graph is
drawn with the same precision obtained when you normally perform a differential
calculation.
• You can also omit input of the derivative point by using the following format for the
differential graph: Y2=
d
/
dx
(Y1). In this case, the value of the X variable is used as the
derivative point.
2-5-2
Numerical Calculations
d
d / dx ( f ( x ), a )
&
–––
f ( a )
dx
f
(
a
+
A
x
) –
f
(
a
)
f
'(
a
) = lim –––––––––––––
A
x
A
x
#
0
f ( a +
A
x ) – f ( a )
f '( a ) –––––––––––––
A
x
(
a
:
point for which you want to determine the
derivative,
tol
: tolerance)