Casio FX-9860GII-L-IH User Guide - Page 96
Differential Calculations, Using Differential Calculation in a Graph Function
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2-5-2 Numerical Calculations k Differential Calculations [OPTN]-[CALC]-[d /dx] 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/dx ( f (x), a) ⇒ -d-- dx f (a) The differentiation for this type of calculation is defined as: f (a + Ax) - f (a) f '(a) = lim Ax→0 ------A-x------ 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) ------A-x------ 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. 20050401