beautypg.com

Casio SERIES FX-9860G User Manual

Page 100

background image

20070201

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

).

AK4(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-ged
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

,

Ƨ

) 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 satisfi es the tolerance value
can be obtained.

# In the Math input mode, the tolerance value is

fi xed 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 infl ection point in

x

values

- inclusion of undifferentiable points in

x

values

- differential calculation results approaching zero