Casio fx-9860G SD - Manual (Page 97)

20061001
Example To determine the derivative at point
x
= 3 for the function
y
=
x
3 + 4
x
2 +
x
– 6, with a tolerance of “ tol” = 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 the tolerance value.
bE-f)
w
A4
(MATH)4(
d
/
dx
)vMde
+evx+v-g ed
w
2-5-3
Numerical Calculations
# In the function
f
(
x
), only X can be used as
a variable in expressions. Other variables
(A through Z excluding X,
r
,
θ
) are treated
as constants, and the value currently
assigned to that variable is applied during the
calculation.
# Input of the tolerance (
tol
) value and the
closing parenthesis can be omitted. If you
omit tolerance (
tol
) value, the calculator
automatically uses a value for
tol
as 1
E
-10.
# Specify a tolerance (
tol
) value of 1
E
-14 or
greater. An error (Time Out) occurs whenever
no solution that satisfies the tolerance value
can be obtained.
# In the Math input mode, the tolerance value is
fixed at 1
E
-10 and cannot be changed.
# Inaccurate results and errors can be caused by
the following:
- discontinuous points in
x
values
- extreme changes in
x
values
- inclusion of the local maximum point and local
minimum point in
x
values
- inclusion of the inflection point in
x
values
- inclusion of undifferentiable points in
x
values
- differential calculation results approaching zero
20070101