Numerical Calculations
| kDifferential Calculations |
To perform differential calculations, first display the function analysis menu, and then input the values using the syntax below.
K4(CALC)2(d/dx) f(x),a,tol)
(a: point for which you want to determine the
derivative, tol: tolerance)
⇒ d
d/dx ( f (x), a)
The differentiation for this type of calculation is defined as:
f(a + Ax) – f (a)
f'(a) = lim
AxAx→0
In this definition, infinitesimal is replaced by a sufficiently small Ax, with the value in the neighborhood of f ' (a) calculated as:
f (a + Ax) – f (a)
f '(a)
Ax
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.
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