Casio ALGEBRA FX 2.0 Manual Calculations Instrukcja Użytkownika Pobierz pdf (Strona 29)

19990401

k Differential Calculations [OPTN]-[CALC]-[d

/dx]

To perform differential calculations, first display the function analysis menu, and then input

the values shown in the formula below.

K4(CALC)b(d/dx) f(x),a,tol)

The differentiation for this type of calculation is defined as:

In this definition,

infinitesimal

is replaced by a

sufficiently small

Ax, with the value in the

neighborhood of f ' (a) calculated as:

In order to provide the best precision possible, this unit employs central difference to perform

differential calculations.

Using Differential Calculation in a Graph Function

• Omitting the tolerance (tol) value when using the differential command inside of a graph

function simplifies the calculation for drawing the graph. In such a case, precision is

sacrificed for the sake of faster drawing. The tolerance value is specified, the graph is

drawn with the same precision obtained when you normally perform a differential

calculation.

• You can also omit input of the derivative point by using the following format for the

differential graph: Y2=d/dx(Y1). In this case, the value of the X variable is used as the

derivative point.

2-5-2

Numerical Calculations

d/dx ( f (x), a) ⇒ ––– f (a)

f (a + Ax) – f (a)

f '(a) = lim –––––––––––––

Ax→0

f (a + Ax) – f (a)

f '(a) –––––––––––––

(a: point for which you want to determine the

derivative, tol: tolerance)

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Casio ALGEBRA FX 2.0 Manual Calculations Instrukcja Użytkownika Strona 29