Numerical Calculations
| kQuadratic Differential Calculations |
After displaying the function analysis menu, you can input quadratic differentials using the following syntax.
K4(CALC)3(d2/dx2) f(x),a,tol)
(a: differential coefficient point, tol: tolerance)
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Quadratic differential calculations produce an approximate differential value using the following second order differential formula, which is based on Newton’s polynomial interpretation.
f ''(a) = 2 f(a + 3h) – 27 f(a + 2h) + 270 f(a + h) – 490 f(a) + 270 f(a – h) – 27 f(a
In this expression, values for “sufficiently small increments of h” are used to obtain a value that approximates f ”(a).
Example To determine the quadratic differential coefficient at the point where x = 3 for the function y = x3 + 4x2 + x – 6
Here we will use a tolerance tol = 1E – 5
Input the function f(x).
AK4(CALC)3(d2/dx2) vMd+
Input 3 as point a, which is the differential coefficient point.
d,
Input the tolerance value.
w
#In the function f(x), only X can be used as
a variable in expressions. Other variables (A through Z excluding X, r, θ) are treated as constants, and the value currently assigned to that variable is applied during the calculation.
#Input of the tolerance (tol) value and the closing parenthesis can be omitted.
#Specify a tolerance (tol) value of
20070161001