Casio SERIES FX-9860G - Manual (Page 99)

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k Differential Calculations
[OPTN]-[CALC]-[ d / dx ]
To perform differential calculations, fi rst 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)
The differentiation for this type of calculation is defi ned as:
In this defi nition, infi nitesimal is replaced by a suffi ciently small
A x , 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 simplifi es the calculation for drawing the graph. In such a case, precision is
sacrifi ced for the sake of faster drawing. The tolerance value is specifi ed, 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.
d/dx ( f (x) a)
⇒
f (a)
dx
d
d/dx ( f (x) a)
⇒
f (a)
dx
d
f (a + Ax) – f (a)
f '(a) = lim –––––––––––––
Ax
Ax→0
f (a + Ax) – f (a)
f '(a) = lim –––––––––––––
Ax
Ax→0
f (a + Ax) – f (a)
f '(a) –––––––––––––
Ax
f (a + Ax) – f (a)
f '(a) –––––––––––––
Ax
2-5-2
Numerical Calculations