Differential Calculations - Casio fx-570ES User Manual

Casio calculator fx-570es user's guide
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k Differential Calculations
Your calculator performs differential calculations by approximating
the derivative based on centered difference approximation.
d
dx
f
x
a
tol
/
(
(
),
,
f
x
(
): Function of X (All non-X variables are treated as
constants.)
a
:
Input a value to specify the point for which the derivative
should be obtained (differential point)
tol
: Tolerance range (input/output format: Linear)
• You can omit specification of the tolerance range. A default value
–10
of 1 × 10
d
dx
(,
/
(, Pol(, Rec(, and
• Differential calculations can be performed in the COMP Mode only.
• When performing a differential calculation involving trigonometric
functions, specify Rad as the calculator's default angle unit.
• A "Time Out" error occurs when a differential calculation ends
without the ending condition being fulfilled.
tol
• A smaller
the calculation to take more time. Specify a
–14
10
or greater.
• You cannot input a
• Inaccurate results and errors can be caused by the following :
- discontinuous points in
- extreme changes in
- inclusion of the local maximum point and local minimum point in
x
values
- inclusion of the inflection point in
- inclusion of undifferentiable points in
- differential calculation results approaching zero
• Pressing A will interrupt an ongoing differential calculation.
Appendix
<#033> Determine
d
<#034>
(3
dx
)
is used when you do.
Σ
value provides better precision, but it also causes
tol
value when using Math format.
x
x
values
π
f
'(
) when
2
2
x
x
– 5
+ 2, 2, 1×10
( cannot be used within
values
x
values
x
f
x
(
) = sin(
tol
(
–12
) = 7
E-36
f
x
(
),
value that is 1 ×
tol
values
x
)
specification omitted.)
a
tol
, or
.

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