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Casio fx-9750G Differential/Quadratic Differential, Integration, Value User Manual

Page 6

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68

This average, which is called the

central difference, is expressed as:

uuuuu

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

x

=

1

E

5

Input the function

f(x)

.

A

K4

(CALC)

2

(

d/dx

)

v

Md+evx

+v-g,

Input point

x

=

a

for which you want to determine the derivative.

d,

Input

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 vari-

ables (A through Z,

r

,

θ

) are treated as constants, and the value currently as-

signed to that variable is applied during the calculation.

• Input of

x

and the closing parenthesis can be omitted. If you omit

x

, the calcu-

lator automatically uses a value for

x

that is appropriate for the derivative value

you are trying to determine.

• Discontinuous points or sections with drastic fluctuation can adversely affect pre-

cision or even cause an error.

1

f (a +

x) – f (a)

f (a) – f (a

x)

f '(a) =

–– –––––––––––––

+

–––––––––––––

2

x

x

f (a +

x) – f (a

x)

=

–––––––––––––––––

2

x

3 - 3

Differential Calculations

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