20050401
k
Differential Calculations
[OPTN]
-
[CALC]
-
[
d
/
dx
]
To perform differential calculations, first display the function analysis menu, and then input
the values using the syntax below.
K
4
(CALC)
2
(
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)
Summary of Contents for fx-9860G AU PLUS
Page 1: ...fx 9860G AU User s Guide E http edu casio com ...
Page 2: ...Important Please keep your manual and all information handy for future reference ...
Page 27: ...20050401 1 1 Keys 1 1 1 Keys ...
Page 335: ...20050401 u u u u u Input Example u u u u u Results 6 5 25 Tests ...
Page 361: ...20050401 Calculation Result Output Example p F distribution probability 6 7 15 Distribution ...
Page 435: ...20050401 8 8 2 Program Library egcw w ww w ...
Page 437: ...20050401 8 8 4 Program Library Example 1 Example 2 fw baw bf w fw baw ca w ...
Page 439: ...20050401 8 8 6 Program Library wba wb w w d ...
Page 441: ...20050401 8 8 8 Program Library dw fcde wfcde wfcde fcde w daw w 20070101 ...
Page 443: ...20050401 8 8 10 Program Library b awaw bwaw aw x d w ...
Page 590: ...CASIO COMPUTER CO LTD 6 2 Hon machi 1 chome Shibuya ku Tokyo 151 8543 Japan SA0701 E ...