Casio FX-9750G Manuel - Sayfa 5

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Casio FX-9750G Manuel

3-3 Differential Calculations

P.64
The differentiation for this type of calculation is defined as:
In this definition, infinitesimal is replaced by a sufficiently small
the neighborhood of f ' (a) calculated as:
In order to provide the best precision possible, this unit employs central difference to
perform differential calculations. The following illustrates central difference.
The slopes of point
y = f(x)
In the above,
difference.To calculate derivatives, the unit takes the average between the value of
• To perform differential calculations, first display the function analysis menu, and
then input the values shown in the formula below.
d
dx
f(x)
2(
/
)
d/dx ( f (x), a, x)
f (a + x) – f (a)
f '(a) = lim –––––––––– –––
x
0
f (a + x) – f (a)
–––––––––– –––
f '(a)
a
and point
are as follows:
f (a + x) – f (a)
–––––––––– ––– = ––– , –––––––––– ––– = –––
x
y
x
/
is called the forward difference, while
y
x
y
x
/
and
/
, thereby providing higher precision for derivatives.
a
x
,
,
)
Increase/decrease of
Point for which you want to determine the derivative
d
––– f (a)
dx
x
x
a + x
, and of point
y
f (a) – f (a – x)
x
x
x
x
, with the value in
a
a – x
and point
in function
y
x
y
x
/
is the backward
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