Casio fx-9750G PLUS User Manual
Page 84
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56
This average, which is called the
central difference, is expressed as:
u
u
u
u
u
To perform a differential calculation
Example
To determine the derivative at point
x
=
3 for the function
y
=
x
3
+
4
x
2
+
x
–
6, when the increase/decrease of
x
is defined
as A
A
A
A
A
x
=
1
E
–
5
Input the function
f
(x)
.
A
K4
(CALC)2(
d/dx
)vMd+evx+v-g,
Input point
x
=
a
for which you want to determine the derivative.
d,
Input A
x
, which is the increase/decrease of
x
.
bE-f)
w
• In the function
f
(x)
, only X can be used as a variable in expressions. Other
variables (A through Z,
r
,
θ) are treated as constants, and the value currently
assigned to that variable is applied during the calculation.
• Input of A
x
and the closing parenthesis can be omitted. If you omit A
x
, the
calculator automatically uses a value for A
x
that is appropriate for the deriva-
tive value you are trying to determine.
• Discontinuous points or sections with drastic fluctuation can adversely affect
precision or even cause an error.
3 - 2
Differential Calculations
1
f
(a + Ax) – f (a)
f
(a) – f (a – Ax)
f
'(a) =
–– ––––––––––––– + –––––––––––––
2
A
x
A
x
f
(a + Ax) – f (a – Ax)
=
–––––––––––––––––
2
A
x
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